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A262015 a(n) = [x^n] (1-x)^(4*n+1) * Sum_{k>=0} binomial(n+k-1,k)^4 * x^k. 1

%I #3 Sep 10 2015 22:09:48

%S 1,11,603,49682,4961755,554083761,66555527346,8415759917268,

%T 1105492743188955,149552158117961225,20710288432292240353,

%U 2923132560874617706758,419153950726771517250994,60909593781491823719018822,8952489587089165075007703060,1328855554150146863702291235432,198950469430034588049648664728027,30012345078088728771497844274527081

%N a(n) = [x^n] (1-x)^(4*n+1) * Sum_{k>=0} binomial(n+k-1,k)^4 * x^k.

%C Main diagonal of triangle A262014.

%o (PARI) {A262014(n, k)=polcoeff(sum(j=0, n+k, binomial(n+j, j)^4*x^j)*(1-x)^(4*n+1), k)}

%o for(n=0, 20, print1(A262014(n, n), ", "))

%K nonn

%O 0,2

%A _Paul D. Hanna_, Sep 10 2015

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Last modified April 28 06:12 EDT 2024. Contains 372020 sequences. (Running on oeis4.)