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 A187990 Number of nondecreasing arrangements of 6 numbers x(i) in -(n+4)..(n+4) with the sum of sign(x(i))*2^|x(i)| zero. 2
 67, 117, 181, 260, 355, 467, 597, 746, 915, 1105, 1317, 1552, 1811, 2095, 2405, 2742, 3107, 3501, 3925, 4380, 4867, 5387, 5941, 6530, 7155, 7817, 8517, 9256, 10035, 10855, 11717, 12622, 13571, 14565, 15605, 16692, 17827, 19011, 20245, 21530, 22867, 24257 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS Manuel Kauers and Christoph Koutschan, Table of n, a(n) for n = 0..1000 (terms 1..50 from R. H. Hardin). M. Kauers and C. Koutschan, Some D-finite and some possibly D-finite sequences in the OEIS, arXiv:2303.02793 [cs.SC], 2023. Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1). FORMULA a(n) = (n^3 + 39*n^2 + 260*n + 402)/6. - Manuel Kauers and Christoph Koutschan, Mar 01 2023 G.f.: -(-67+151*x-115*x^2+30*x^3)/(x-1)^4 . - R. J. Mathar, Apr 30 2023 EXAMPLE Some solutions for n=3 -2 -5 -6 -5 -7 -6 -4 -4 -6 -5 -7 -6 -3 -6 -3 -7 -1 -4 -5 -1 -6 -3 -3 -2 -6 -4 -3 -6 -3 -3 -3 -5 0 -4 4 -1 5 -2 -3 -1 -5 -1 1 5 -3 -3 -2 -3 0 4 4 2 5 -2 -1 -1 4 1 1 5 2 3 1 3 1 4 5 4 6 4 1 3 4 4 2 5 2 3 1 5 1 5 5 4 6 6 5 4 7 5 7 5 4 6 4 7 CROSSREFS Row 6 of A187988. Sequence in context: A289518 A229058 A141925 * A147100 A217180 A144094 Adjacent sequences: A187987 A187988 A187989 * A187991 A187992 A187993 KEYWORD nonn,easy AUTHOR R. H. Hardin, Mar 18 2011 EXTENSIONS a(27) corrected by Manuel Kauers and Christoph Koutschan, Mar 01 2023 STATUS approved

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Last modified August 15 04:20 EDT 2024. Contains 375172 sequences. (Running on oeis4.)