A143169 Fourth column of triangle A000369: |S2(-3;n+4,4)|.

1, 30, 825, 24150, 775845, 27478710, 1069801425, 45547251750, 2108878296525, 105616706545350, 5693005525232025, 328784072492625750, 20261087389388971125, 1327378299252353097750, 92142485069345244158625, 6756933615539839013031750, 522007423480304780922028125

Offset

0,2

Comments

Also third column (m=3) of triangle A049029 (S2(5)).

Links

Table of n, a(n) for n=0..16.

Formula

a(n) = A000369(n+4,4) = |S2(-3;n+4,4)|, n >= 0.

E.g.f.: d^4/dx^4 ((1-(1-4*x)^(1/4))^4)/4! = (-1/2)*(-45*(1-4*x)^(1/2)+120*(1-4*x)^(1/4)-77)/(1-4*x)^(15/4).

Crossrefs

Third column of A000369 is A143168, fifth one is A143170.

Also third column (m=3) of triangle A049029 (S2(5)). - Wolfdieter Lang, Nov 17 2008

Sequence in context: A367275 A367332 A049394 * A256324 A001201 A367333

Adjacent sequences: A143166 A143167 A143168 * A143170 A143171 A143172

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 15 2008

Status

approved