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A324962 a(n) is the coefficient of y^n in Product_{k=0..n} (1 + (k+2)*y + y^2), for n >= 0. 2

%I #3 Mar 20 2019 20:14:33

%S 1,5,29,196,1519,13293,129681,1395504,16420458,209724450,2889435185,

%T 42711906510,674273776409,11321518590991,201460954569411,

%U 3787078288117632,74989404135333176,1560115234974759624,34021998346437480754,776044059807136053020,18479631810762197072198,458571995526115351079650,11839067860288617013759941,317516454727719391340475084,8833750915068037494754203780,254617921422661239086243462460,7594011177768010264119760374795

%N a(n) is the coefficient of y^n in Product_{k=0..n} (1 + (k+2)*y + y^2), for n >= 0.

%C a(n) = A324960(n+1,n) for n >= 0.

%o (PARI) {a(n) = polcoeff( prod(m=0, n, 1 + (m+2)*y + y^2 +y*O(y^n)), n, y)}

%o for(n=0, 30, print1(a(n), ", "))

%Y Cf. A324960, A324961.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Mar 20 2019

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)