The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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