1,1

If X is an n-set and Y a fixed 2-subset of X then a(n-6) is equal to the number of (n-6)-subsets of X intersecting Y. - Milan R. Janjic (agnus(AT)blic.net), Jul 30 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.

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 797.

Milan Janjic, Two Enumerative Functions

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].

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 Chebyshev polynomials.

C. Rossiter, Depictions, Explorations and Formulas of the Euler/Pascal Cube.

G.f.: (2 - x) / ( 1 - x )^7.

a(n)=binomial(n+5, n-1)+binomial(n+4, n-1)=1/720*n*(n+11)*(n+4)*(n+3)*(n+2)*(n+1).

Binomial(n,6)+2*binomial(n,5), n>=5. - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 26 2006

[seq(binomial(n, 6)+2*binomial(n, 5), n=5..35)]; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 26 2006

A005584:=(-2+z)/(z-1)**7; [Conjectured by S. Plouffe in his 1992 dissertation.]

Sequence in context: A084156 A002534 A117717 this_sequence A072416 A056305 A056297

Adjacent sequences: A005581 A005582 A005583 this_sequence A005585 A005586 A005587

nonn

njas

More terms from Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 07 1999.