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A090199 N(6,n) where N(6,x) is the 6th Narayana polynomial. 3
1, 132, 903, 3304, 8925, 20076, 39907, 72528, 123129, 198100, 305151, 453432, 653653, 918204, 1261275, 1698976, 2249457, 2933028, 3772279, 4792200, 6020301, 7486732, 9224403, 11269104, 13659625, 16437876, 19649007, 23341528, 27567429 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

FORMULA

a(n) = N(6, n)= Sum_{k>0} A001263(6, k)*n^(k-1) = n^5 + 15*n^4 + 50*n^3 + 50*n^2 + 15*n + 1.

G.f.: (1+126*x+126*x^2-154*x^3+24*x^4)/(1-x^6). - Philippe Deléham, Apr 03 2013

PROG

(PARI) a(n)=n^5+15*n^4+50*n^3+50*n^2+15*n+1 \\ Charles R Greathouse IV, Jan 17 2012

CROSSREFS

Cf. A008550

Sequence in context: A158543 A156958 A305271 * A239598 A033278 A213380

Adjacent sequences:  A090196 A090197 A090198 * A090200 A090201 A090202

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, Jan 22 2004

STATUS

approved

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Last modified September 17 17:25 EDT 2019. Contains 327136 sequences. (Running on oeis4.)