0,6

Number of surjections from an n-element set onto a five-element set, with n >= 5. - Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Dec 15 2007

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.

H. T. Davis, Tables of the Mathematical Functions. Vols. 1 and 2, 2nd ed., 1963, Vol. 3 (with V. J. Fisher), 1962; Principia Press of Trinity Univ., San Antonio, TX, Vol. 2, p. 212.

J. Riordan, An Introduction to Combinatorial Analysis, Wiley, 1958, p. 33.

J. F. Steffensen, Interpolation, 2nd ed., Chelsea, NY, 1950, see p. 54.

A. H. Voigt, Theorie der Zahlenreihen und der Reihengleichungen, Goschen, Leipzig, 1911, p. 31.

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.

A. H. Voigt, Theorie der Zahlenreihen und der Reihengleichungen, Leipzig, 1911.

Sum((-1)^i*binomial(5, i)*(5-i)^n, i = 0 .. 4).

5!*S(n, 5). E.g.f.: (e^x-1)^5.

a(n)=5^n-C(5,4)*4^n+C(5,3)*3^n-C(5,2)*2^n+C(5,1). - Mohamed Bouhamida (bhmd95(AT)yahoo.fr), Dec 15 2007

A001118:=-120/(z-1)/(4*z-1)/(3*z-1)/(2*z-1)/(5*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]

Cf. A001117, A000919, A019538, A000920.

Adjacent sequences: A001115 A001116 A001117 this_sequence A001119 A001120 A001121

Sequence in context: A027795 A053567 A056270 this_sequence A052767 A110839 A084030

nonn,easy

njas

Extended with formula and alternate description by Christian G. Bower (bowerc(AT)usa.net), Aug 15 1998.