0,2

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

A. Fletcher, J. C. P. Miller, L. Rosenhead and L. J. Comrie, An Index of Mathematical Tables. Vols. 1 and 2, 2nd ed., Blackwell, Oxford and Addison-Wesley, Reading, MA, 1962, Vol. 1, p. 112.

J. Riordan, Combinatorial Identities, Wiley, 1968, p. 217.

T. N. Thiele, Interpolationsrechnung. Teubner, Leipzig, 1909, p. 36.

S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.

Index entries for sequences related to factorial numbers

G.f.: 1 / ( 1 - x ) ( 1 - 9 x ) ( 1 - 25 x ).

a(n) = 1/384 * (625*25^n - 243*9^n + 2)

A002453:=-1/(z-1)/(25*z-1)/(9*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]

Right-hand column 2 in triangle A008958.

Sequence in context: A080250 A014934 A115473 this_sequence A049395 A115492 A046176

Adjacent sequences: A002450 A002451 A002452 this_sequence A002454 A002455 A002456

nonn,easy

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)