A223516 Triangle T(n,k) represents the coefficients of (x^14*d/dx)^n, where n=1,2,3,...; generalization of Stirling numbers of second kind A008277, Lah-numbers A008297.

1, 14, 1, 378, 42, 1, 15120, 2100, 84, 1, 801360, 128520, 6720, 140, 1, 52889760, 9412200, 585480, 16380, 210, 1, 4178291040, 805865760, 56836080, 1928640, 33810, 294, 1, 384402775680, 79123806720, 6148457280, 240056880, 5174400, 62328, 392, 1

Offset

1,2

Links

Table of n, a(n) for n=1..36.

Example

1;
14,1;
378,42,1;
15120,2100,84,1;
801360,128520,6720,140,1;
52889760,9412200,585480,16380,210,1;
4178291040,805865760,56836080,1928640,33810,294,1;
384402775680,79123806720,6148457280,240056880,5174400,62328,392,1;

Maple

b[0]:=f(x):
for j from 1 to 10 do
b[j]:=simplify(x^14*diff(b[j-1], x$1);
end do;

Crossrefs

Cf. A008277, A019538, A035342, A035469, A049029, A049385, A092082, A132056, A223511-A223522, A223168-A223172, A223523-A223532.

Sequence in context: A040209 A071713 A147716 * A350888 A348335 A040192

Adjacent sequences: A223513 A223514 A223515 * A223517 A223518 A223519

Keyword

nonn,easy,tabl

Author

Udita Katugampola, Mar 23 2013

Status

approved