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A056122
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a(n)=(8n+9)*C(n+8,8)/9.
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1
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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; internal format)
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OFFSET
| 0,2
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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.
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MATHEMATICA
| Table[(8n+9) Binomial[n+8, 8]/9, {n, 0, 40}] (* From Harvey P. Dale, Mar 9 2011 *)
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CROSSREFS
| Cf. A056001.
Cf. A093565 ((8, 1) Pascal, column m=9). Partial sums of A056001.
Sequence in context: A196286 A196336 A023081 * A036828 A142613 A066453
Adjacent sequences: A056119 A056120 A056121 * A056123 A056124 A056125
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KEYWORD
| easy,nonn
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AUTHOR
| Barry E. Williams, Jul 06 2000
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