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A261383
Number of 5-ascent sequences of length n that avoid the pattern 00.
2
1, 1, 5, 25, 115, 485, 1875, 6655, 21755, 65800, 185169, 487763, 1209978, 2843009, 6360875, 13616713, 28008865, 55567799, 106683637, 198787805, 360428177, 637343681, 1101362043, 1863225539, 3090808955, 5034648646, 8063271761, 12711523735, 19745967040
OFFSET
0,3
LINKS
S. Kitaev, J. Remmel, p-Ascent Sequences, arXiv:1503.00914 [math.CO], 2015
FORMULA
G.f.: -(5*x^14 -56*x^13 +293*x^12 -959*x^11 +2212*x^10 -3815*x^9 +5055*x^8 -5190*x^7 +4127*x^6 -2528*x^5 +1175*x^4 -400*x^3 +95*x^2 -14*x+1) / (x-1)^15.
CROSSREFS
Cf. A263851.
Sequence in context: A196985 A124534 A369769 * A089947 A267467 A123890
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Nov 20 2015
STATUS
approved