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A097297 Seventh column (m=6) of (1,6)-Pascal triangle A096956. 4
6, 37, 133, 364, 840, 1722, 3234, 5676, 9438, 15015, 23023, 34216, 49504, 69972, 96900, 131784, 176358, 232617, 302841, 389620, 495880, 624910, 780390, 966420, 1187550, 1448811, 1755747, 2114448, 2531584, 3014440, 3570952, 4209744 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Table of n, a(n) for n=0..31.

FORMULA

a(n)= A096956(n+6, 6) = 6*b(n) - 5*b(n-1) = (n+36)*binomial(n+5, 5)/6, with b(n):= A000579(n+6)=binomial(n+6, 6).

G.f.: (6-5*x)/(1-x)^7.

CROSSREFS

Cf. A096959 (sixth column), A097298 (eighth column).

Sequence in context: A277726 A003351 A129651 * A047670 A129552 A056338

Adjacent sequences:  A097294 A097295 A097296 * A097298 A097299 A097300

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Aug 13 2004

STATUS

approved

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Last modified December 10 13:38 EST 2016. Contains 279004 sequences.