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A056122 a(n) = (8n+9)*C(n+8,8)/9. 2
1, 17, 125, 605, 2255, 7007, 19019, 46475, 104390, 218790, 432718, 814606, 1469650, 2554930, 4299130, 7027834, 11195503, 17425375, 26558675, 39714675, 58363305, 84412185, 120310125, 169169325, 234908700, 322420956, 437766252 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..26.

FORMULA

G.f.(x)=(1+7x)/(1-x)^10.

a(n) = (362880 + 1308816*n + 1939788*n^2 + 1550548*n^3 + 740313*n^4 + 220416*n^5 + 41202*n^6 + 4692*n^7 + 297*n^8 + 8*n^9)/362880. - Harvey P. Dale, Mar 09 2011

MATHEMATICA

Table[(8n+9) Binomial[n+8, 8]/9, {n, 0, 40}]  (* Harvey P. Dale, Mar 09 2011 *)

CROSSREFS

Cf. A056001.

Cf. A093565 ((8, 1) Pascal, column m=9). Partial sums of A056001.

Cf. similar sequences listed in A254142.

Sequence in context: A196336 A297975 A023081 * A036828 A142613 A066453

Adjacent sequences:  A056119 A056120 A056121 * A056123 A056124 A056125

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Jul 06 2000

STATUS

approved

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Last modified February 16 14:47 EST 2019. Contains 320163 sequences. (Running on oeis4.)