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Search: id:A123613
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A123613 Column 3 of triangle A123610. +0
5
1, 4, 20, 68, 175, 392, 786, 1440, 2475, 4036, 6292, 9464, 13805, 19600, 27200, 36996, 49419, 64980, 84238, 107800, 136367, 170696, 211600, 260000, 316881, 383292, 460404, 549460, 651775, 768800, 902066, 1053184, 1223915, 1416108, 1631700 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: P_3(x) / ((1-x)^2*(1-x^2)^2*(1-x^3)^2), with P_3(1) = 5!, where P_3(x) = (1+2*x+11*x^2+26*x^3+30*x^4+26*x^5+17*x^6+6*x^7+x^8).

PROGRAM

(PARI) {a(n)=polcoeff(truncate(Ser([1, 2, 11, 26, 30, 26, 17, 6, 1]))/((1-x)^2*(1-x^2)^2*(1-x^3)^2 +x*O(x^n)), n)}

CROSSREFS

Cf. A123610 (triangle); columns: A005997, A123614, A123615, A123616.

Sequence in context: A135507 A131479 A055538 this_sequence A006740 A061981 A054611

Adjacent sequences: A123610 A123611 A123612 this_sequence A123614 A123615 A123616

KEYWORD

nonn

AUTHOR

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 03 2006

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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