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A097299 Ninth column (m=8) of (1,6)-Pascal triangle A096956. 2
6, 49, 225, 765, 2145, 5247, 11583, 23595, 45045, 81510, 140998, 234702, 377910, 591090, 901170, 1343034, 1961256, 2812095, 3965775, 5509075, 7548255, 10212345, 13656825, 18067725, 23666175, 30713436, 39516444, 50433900, 63882940 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..28.

FORMULA

a(n)= A096956(n+8, 8) = 6*b(n) - 5*b(n-1) = (n+48)*binomial(n+7, 7)/8, with b(n):=A000581(n+8)=binomial(n+8, 8).

G.f.: (6-5*x)/(1-x)^9.

CROSSREFS

Cf. A097298 (eighth column), A097300 (tenth column).

Sequence in context: A061429 A048357 A027766 * A283226 A292124 A104170

Adjacent sequences:  A097296 A097297 A097298 * A097300 A097301 A097302

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 13 2004

STATUS

approved

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Last modified July 22 17:02 EDT 2019. Contains 325225 sequences. (Running on oeis4.)