A281454 Exponential transform of the 4-dimensional figurate numbers (A002417).

1, 1, 9, 55, 441, 4316, 46867, 566714, 7550601, 109118728, 1696640501, 28209128344, 498557098921, 9320449092072, 183575505529431, 3796015849264216, 82156098504947473, 1856012774517648896, 43663382492497648777, 1067393396478808265656, 27062739020373087036281, 710410408414549934445376, 19277762831507022675509139

Offset

0,3

Links

Table of n, a(n) for n=0..22.

M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]

M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]

N. J. A. Sloane, Transforms

Eric Weisstein's World of Mathematics, Exponential Transform

Formula

E.g.f.: exp(exp(x)*x*(6 + 18*x + 9*x^2 + x^3)/6).

Example

E.g.f.: A(x) = 1 + x/1! + 9*x^2/2! + 55*x^3/3! + 441*x^4/4! + 4316*x^5/5! + 46867*x^6/6! + ...

Mathematica

Range[0, 22]! CoefficientList[Series[Exp[Exp[x] x (6 + 18 x + 9 x^2 + x^3)/6], {x, 0, 22}], x]

Crossrefs

Cf. A002417, A281231.

Sequence in context: A037578 A096191 A362088 * A174711 A231857 A041148

Adjacent sequences: A281451 A281452 A281453 * A281455 A281456 A281457

Keyword

nonn

Author

Ilya Gutkovskiy, Jan 22 2017

Status

approved