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A097298 Eighth column (m=7) of (1,6)-Pascal triangle A096956. 2

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

%S 6,43,176,540,1380,3102,6336,12012,21450,36465,59488,93704,143208,

%T 213180,310080,441864,618222,850839,1153680,1543300,2039180,2664090,

%U 3444480,4410900,5598450,7047261,8803008,10917456,13449040,16463480

%N Eighth column (m=7) of (1,6)-Pascal triangle A096956.

%F a(n)= A096956(n+7, 7) = 6*b(n) - 5*b(n-1) = (n+42)*binomial(n+6, 6)/7, with b(n):= A000580(n+7)=binomial(n+7, 7).

%F G.f.: (6-5*x)/(1-x)^8.

%Y Cf. A097297 (seventh column), A097299 (ninth column).

%K nonn,easy

%O 0,1

%A _Wolfdieter Lang_, Aug 13 2004

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Last modified April 25 06:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)