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A097299 Ninth column (m=8) of (1,6)-Pascal triangle A096956. 2

%I #3 Oct 12 2012 14:40:21

%S 6,49,225,765,2145,5247,11583,23595,45045,81510,140998,234702,377910,

%T 591090,901170,1343034,1961256,2812095,3965775,5509075,7548255,

%U 10212345,13656825,18067725,23666175,30713436,39516444,50433900,63882940

%N Ninth column (m=8) of (1,6)-Pascal triangle A096956.

%F 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).

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

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

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Aug 13 2004

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)