A261383 Number of 5-ascent sequences of length n that avoid the pattern 00.

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

Alois P. Heinz, Table of n, a(n) for n = 0..1000

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

Adjacent sequences: A261380 A261381 A261382 * A261384 A261385 A261386

Keyword

nonn,easy

Author

Alois P. Heinz, Nov 20 2015

Status

approved