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

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.

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

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, 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.

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

Index entries for sequences related to Chebyshev polynomials.

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; [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

N. J. A. Sloane (njas(AT)research.att.com).

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