A097297 Seventh column (m=6) of (1,6)-Pascal triangle A096956.

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

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: A346356 A003351 A129651 * A362336 A349857 A047670

Adjacent sequences: A097294 A097295 A097296 * A097298 A097299 A097300

Keyword

nonn,easy

Author

Wolfdieter Lang, Aug 13 2004

Status

approved