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 A090864 Complement of generalized pentagonal numbers (A001318). 23
 3, 4, 6, 8, 9, 10, 11, 13, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 54, 55, 56, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Also n for which A006906(n) is even, or equivalently n for which A000009(n) is even (since A006906 and A000009 have the same parity). The number of partitions of a(n) into distinct parts with an even number of parts equals the number of such partitions with an odd number of parts: A067661(a(n)) = A067659(a(n)). See, e.g., the Freitag-Busam reference, p. 410 given in A036499. - Wolfdieter Lang, Jan 19 2016 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 FORMULA A080995(a(n)) = 0; A000009(a(n)) = A118303(n). - Reinhard Zumkeller, Apr 22 2006 A010815(a(n)) = A067661(a(n)) - A067659(a(n)) = 0, n >= 1. See a comment above. - Wolfdieter Lang, Jan 19 2016 MATHEMATICA Complement[Range[200], Select[Accumulate[Range[0, 200]]/3, IntegerQ]] (* G. C. Greubel, Jun 06 2017 *) CROSSREFS Cf. A000009, A001318, A067659, A067661, A080995, A006906, A010815, A118303. Sequence in context: A121543 A080702 A156167 * A118300 A263098 A317391 Adjacent sequences:  A090861 A090862 A090863 * A090865 A090866 A090867 KEYWORD nonn,easy AUTHOR Jon Perry, Feb 12 2004 EXTENSIONS More terms from Reinhard Zumkeller, Apr 22 2006 Edited by Ray Chandler, Dec 14 2011 Edited by Jon E. Schoenfield, Nov 25 2016 STATUS approved

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Last modified May 13 06:04 EDT 2021. Contains 343836 sequences. (Running on oeis4.)