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Search: id:A123614
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A123614 Column 4 of triangle A123610. +0
5
1, 5, 39, 175, 618, 1764, 4420, 9900, 20439, 39325, 71603, 124215, 207076, 333200, 520272, 790704, 1173805, 1705725, 2432375, 3409175, 4704846, 6400900, 8596484, 11407500, 14972643, 19452069, 25034835, 31936975, 40410504, 50740800 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: P_4(x) / ((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2), with P_4(1) = 7!, where P_4(x) = (1+3*x+28*x^2+94*x^3+240*x^4+440*x^5+679*x^6+839*x^7+ 887*x^8+757*x^9+550*x^10+314*x^11+148*x^12+48*x^13+11*x^14+x^15).

PROGRAM

(PARI) {a(n)=polcoeff(truncate(Ser([1, 3, 28, 94, 240, 440, 679, 839, 887, 757, 550, 314, 148, 48, 11, 1]))/ ((1-x)^2*(1-x^2)^2*(1-x^3)^2*(1-x^4)^2 +x*O(x^n)), n)}

CROSSREFS

Cf. A123610 (triangle); columns: A005997, A123613, A123615, A123616.

Sequence in context: A110467 A095230 A064445 this_sequence A075135 A053573 A003482

Adjacent sequences: A123611 A123612 A123613 this_sequence A123615 A123616 A123617

KEYWORD

nonn

AUTHOR

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

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Last modified December 3 16:57 EST 2008. Contains 151279 sequences.


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