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 A309213 A007318 + A065941 - A049310. 2
 1, 2, 1, 3, 3, 1, 2, 6, 5, 1, 1, 5, 12, 6, 1, 2, 3, 14, 17, 8, 1, 3, 7, 14, 24, 26, 9, 1, 2, 12, 27, 30, 45, 33, 11, 1, 1, 9, 45, 62, 70, 66, 45, 12, 1, 2, 5, 44, 111, 147, 120, 104, 54, 14, 1, 3, 11, 39, 128, 273, 273, 217, 140, 69, 15, 1, 2, 18, 65, 139, 366, 546, 518, 329, 200, 80, 17, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Row sums = 1, 3, 7, 14, 25, 45, 85, ... (This is probably a new sequence and should be added to the OEIS.) - N. J. A. Sloane, Aug 09 2019 LINKS Jinyuan Wang, Table of n, a(n) for n = 0..5150 FORMULA A007318 + A065941 - A168561 as infinite lower triangular matrices. EXAMPLE First few rows of the triangle are: 1, 2, 1, 3, 3, 1, 2, 6, 5, 1, 1, 5, 12, 6, 1, 2, 3, 14, 17, 8, 1, 3, 7, 14, 24, 26, 9, 1, ... PROG (PARI) T007318(n, k) = binomial(n, k); T065941(n, k) = binomial(n - (k+1)\2, k\2); T049310(n, k) = if ((n+k)%2, 0, (-1)^((n+k)/2 + k) * binomial((n+k)/2, k)); T(n, k) = T007318(n, k) + T065941(n, k) - T049310(n, k); \\ Michel Marcus, Apr 28 2014 CROSSREFS Cf. A007318, A065941, A049310, A117591, A131375, A168561. Sequence in context: A126572 A162910 A098975 * A127121 A238703 A185908 Adjacent sequences:  A309210 A309211 A309212 * A309214 A309215 A309216 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Jul 04 2007 EXTENSIONS The old definition of A131376 did not match the data, as Michel Marcus pointed out. The definition there has been corrected, keeping the old data. The present sequence uses the old definition with corrected data from Michel Marcus. - N. J. A. Sloane, Aug 09 2019 More terms from Jinyuan Wang, Aug 29 2019 STATUS approved

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Last modified September 18 10:31 EDT 2020. Contains 337166 sequences. (Running on oeis4.)