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A097297
Seventh column (m=6) of (1,6)-Pascal triangle A096956.
3
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
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
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Aug 13 2004
STATUS
approved