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A097298 Eighth column (m=7) of (1,6)-Pascal triangle A096956. 2
6, 43, 176, 540, 1380, 3102, 6336, 12012, 21450, 36465, 59488, 93704, 143208, 213180, 310080, 441864, 618222, 850839, 1153680, 1543300, 2039180, 2664090, 3444480, 4410900, 5598450, 7047261, 8803008, 10917456, 13449040, 16463480 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..29.

FORMULA

a(n)= A096956(n+7, 7) = 6*b(n) - 5*b(n-1) = (n+42)*binomial(n+6, 6)/7, with b(n):= A000580(n+7)=binomial(n+7, 7).

G.f.: (6-5*x)/(1-x)^8.

CROSSREFS

Cf. A097297 (seventh column), A097299 (ninth column).

Sequence in context: A083940 A101071 A299375 * A012872 A156676 A256713

Adjacent sequences:  A097295 A097296 A097297 * A097299 A097300 A097301

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 13 2004

STATUS

approved

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Last modified September 26 23:42 EDT 2021. Contains 347673 sequences. (Running on oeis4.)