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A086027
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a(n) = Sum_(i=1..n) C(i+5,6)^2.
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22
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1, 50, 834, 7890, 51990, 265434, 1119210, 4063866, 13081875, 38131900, 102259964, 255425340, 600047436, 1336192860, 2838530460, 5783112156, 11350211925, 21540508734, 39656591950, 71021001950, 124026854850, 211648774950
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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FORMULA
| G.f.: x*(1+36*x+225*x^2+400*x^3+225*x^4+36*x^5+x^6)/(x-1)^14. a(n) = n*(n+1)*(n+2)*(n+3)*(n+4)*(n+5)*(n+6)*(77*n^6+1386*n^5+9380*n^4+ 29400*n^3+41783*n^2+20874*n+60) / 518918400. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 16 2010]
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CROSSREFS
| Cf. A087127, A024166, A085438, A085439, A085440, A085441, A085442, A086020, A086021, A086022, A086023, A086024, A086025, A086026, A086028, A086029, A086030.
Sequence in context: A206120 A160287 A104672 * A110929 A101929 A006360
Adjacent sequences: A086024 A086025 A086026 * A086028 A086029 A086030
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KEYWORD
| easy,nonn
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AUTHOR
| Andre F. Labossiere (boronali(AT)laposte.net), Jul 11 2003
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EXTENSIONS
| More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 16 2010
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