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A329820 Triangular array, read by rows: T(n,k) = [(w*x*y*z)^k] (-1 + (1 + w + 1/w)*(1 + x + 1/x)*(1 + y + 1/y)*(1 + z + 1/z))^n for -n <= k <= n. 2
1, 1, 0, 1, 1, 14, 80, 14, 1, 1, 78, 1251, 2160, 1251, 78, 1, 1, 252, 9682, 60444, 121200, 60444, 9682, 252, 1, 1, 620, 49355, 760800, 3785750, 6136800, 3785750, 760800, 49355, 620, 1, 1, 1290, 190746, 5950070, 60898395, 228400980, 356570960, 228400980, 60898395, 5950070, 190746, 1290, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Table of n, a(n) for n=0..48.

FORMULA

T(n,k) = T(n,-k).

EXAMPLE

Triangle begins:

                          1;

                  1,      0,     1;

           1,    14,     80,    14,    1;

     1,   78,  1251,   2160,  1251,   78,   1;

1, 252, 9682, 60444, 121200, 60444, 9682, 252, 1;

PROG

(PARI) {T(n, k) = polcoef(polcoef(polcoef(polcoef((-1+(1+w+1/w)*(1+x+1/x)*(1+y+1/y)*(1+z+1/z))^n, k), k), k), k)}

CROSSREFS

T(n,0) gives A328875.

Cf. A260492, A329816, A329819.

Sequence in context: A231241 A138401 A099360 * A239421 A309338 A215472

Adjacent sequences:  A329817 A329818 A329819 * A329821 A329822 A329823

KEYWORD

nonn,tabf

AUTHOR

Seiichi Manyama, Nov 21 2019

STATUS

approved

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Last modified March 30 10:09 EDT 2020. Contains 333125 sequences. (Running on oeis4.)