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Search: id:A096958
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A096958 Fifth column (m=4) of (1,6)-Pascal triangle A096956. +0
3
6, 25, 65, 135, 245, 406, 630, 930, 1320, 1815, 2431, 3185, 4095, 5180, 6460, 7956, 9690, 11685, 13965, 16555, 19481, 22770, 26450, 30550, 35100, 40131, 45675, 51765, 58435, 65720, 73656, 82280, 91630, 101745, 112665, 124431, 137085, 150670 (list; graph; listen)
OFFSET

0,1

FORMULA

a(n)= A096956(n+4, 4) = 6*b(n) - 5*b(n-1) = (n+24)*binomial(n+3, 3)/4, with b(n):=A000332(n)=binomial(n+4, 4).

G.f.: (6-5*x)/(1-x)^5.

CROSSREFS

Cf. A096957 (fourth column), A096959 (sixth column).

Sequence in context: A065069 A022270 A001664 this_sequence A133714 A055585 A099625

Adjacent sequences: A096955 A096956 A096957 this_sequence A096959 A096960 A096961

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 13 2004

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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