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

1, 5, 29, 196, 1519, 13293, 129681, 1395504, 16420458, 209724450, 2889435185, 42711906510, 674273776409, 11321518590991, 201460954569411, 3787078288117632, 74989404135333176, 1560115234974759624, 34021998346437480754, 776044059807136053020, 18479631810762197072198, 458571995526115351079650, 11839067860288617013759941, 317516454727719391340475084, 8833750915068037494754203780, 254617921422661239086243462460, 7594011177768010264119760374795

Offset: 0

Author

Paul D. Hanna, Mar 20 2019

Keywords

• nonn

Comments

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

Crossrefs

Cf. A324960, A324961.

Programs

PARI

{a(n) = polcoeff( prod(m=0, n, 1 + (m+2)*y + y^2 +y*O(y^n)), n, y)}
for(n=0, 30, print1(a(n), ", "))