OEIS: Difference between revisions
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* ''[https://oeis.org/wiki/The_Encyclopedia_of_Integer_Sequences The_Encyclopedia_of_Integer_Sequences]'', N. J. A. Sloane and S. Plouffe, Academic Press, San Diego, 1995, 587 pp. ISBN 0-12-558630-2. | * ''[https://oeis.org/wiki/The_Encyclopedia_of_Integer_Sequences The_Encyclopedia_of_Integer_Sequences]'', N. J. A. Sloane and S. Plouffe, Academic Press, San Diego, 1995, 587 pp. ISBN 0-12-558630-2. | ||
===Small Projects=== | ===Small Projects=== | ||
Cf. my [https://oeis.org/wiki/User:Georg_Fischer OEIS wiki user page] | |||
* '''[https://oeis.org/wiki/User:Georg_Fischer/Coincidences Coincidences]''' - search lists for sequences with common terms | * '''[https://oeis.org/wiki/User:Georg_Fischer/Coincidences Coincidences]''' - search lists for sequences with common terms | ||
* '''[[OEIS/Broken_Links|Broken links]]''' detection and repair | * '''[[OEIS/Broken_Links|Broken links]]''' detection and repair | ||
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===Individual sequences=== | ===Individual sequences=== | ||
* '''[[OEIS/A003828|A003828]]''', Numbers n such that n^4 is a primitive sum of 3 positive fourth powers: 422481, 2813001, 8707481, 12197457, 16003017, 16430513, 20615673, 44310257, 68711097, 117112081, 145087793, 156646737, 589845921, 638523249, 873822121, 1259768473, 1679142729, 1787882337, 1871713857 | * '''[[OEIS/A003828|A003828]]''', Numbers n such that n^4 is a primitive sum of 3 positive fourth powers: 422481, 2813001, 8707481, 12197457, 16003017, 16430513, 20615673, 44310257, 68711097, 117112081, 145087793, 156646737, 589845921, 638523249, 873822121, 1259768473, 1679142729, 1787882337, 1871713857 | ||
* '''[https://oeis.org/ | * '''[https://oeis.org/A035505 A035505]''', Kimberling's expulsion (shuffle) array [http://www.teherba.org/fasces/oeis/kea.html array visualization] | ||
* '''[https://oeis.org/A070165 A070165]''', Collatz conjecture: '''[[OEIS/3x%2B1_Problem]]''' (solution proposal) | * '''[https://oeis.org/A070165 A070165]''', Collatz conjecture: '''[[OEIS/3x%2B1_Problem]]''' (solution proposal) | ||
* '''[http://oeis.org/A112273 A112273]''': 5, 15, 365, 945 - a puzzle sequence | * '''[http://oeis.org/A112273 A112273]''': 5, 15, 365, 945 - a puzzle sequence | ||
Revision as of 06:32, 5 January 2019
The On-Line Encyclopedia of Integer Sequences® of Neil Sloane et al.
- A Handbook of Integer Sequences, N. J. A. Sloane, Academic Press, New York and London, 1973.
- The_Encyclopedia_of_Integer_Sequences, N. J. A. Sloane and S. Plouffe, Academic Press, San Diego, 1995, 587 pp. ISBN 0-12-558630-2.
Small Projects
Cf. my OEIS wiki user page
- Coincidences - search lists for sequences with common terms
- Broken links detection and repair
- WTM World of Terrel Trotter's Math (archive copy of the original webpage of 2004, c.f. his OEIS user page)
- Engel expansion - English translation of Friedrich Engel's speech: Entwicklung der Zahlen nach Stammbrüchen. Verhandlungen der 52. Versammlung Deutscher Philologen und Schulmänner, 1913, Marburg, pp. 190-191
- A220952: 0, 1, 2, 3, 4, 9, 14, 19, 18, 17, 16, 11, 12, 13, ..., 49 ... by Donald E. Knuth, Feb. 20, 2013, was
unkn, with additional FASS curves: space-filling, self-avoiding, simple and self-similar curves - A131388, and A131393 with recovered Rule 2 and generalized negative-positive incrementing sequences of Clark Kimberling, with listing and program
- A030707, A055187, A217760 and related sequences, listing and program for generalized cumulative counting, Clark Kimberling's problem no. 4
- Triangles with interlacing rows, Clark Kimberling's problem no. 18; Perl and C programs find 1, 2, 20, 1744, 2 002 568, 42 263 042 752 triangles for the between condition
Individual sequences
- A003828, Numbers n such that n^4 is a primitive sum of 3 positive fourth powers: 422481, 2813001, 8707481, 12197457, 16003017, 16430513, 20615673, 44310257, 68711097, 117112081, 145087793, 156646737, 589845921, 638523249, 873822121, 1259768473, 1679142729, 1787882337, 1871713857
- A035505, Kimberling's expulsion (shuffle) array array visualization
- A070165, Collatz conjecture: OEIS/3x+1_Problem (solution proposal)
- A112273: 5, 15, 365, 945 - a puzzle sequence
- my guess: 5*3^0, 5*3^1, 5*73 (or should that be 315 = 5*7*3^2 ?), 5*7*3^3
- A213457 Intertwining numbers: a(8) = 1058349286
- A291939: 1, 12, 19, 27, 37 - overlapping of Collatz sequences, was
unkn, with 3D visualization