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Search: id:A008586
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A008586 Multiples of 4. +0
25
0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184 (list; graph; listen)
OFFSET

0,2

COMMENT

Apart from initial term(s), dimension of the space of weight 2n cusp forms for Gamma_0( 14 ).

A000466(n), A008586(n) and A053755(n) are Pythagorean triples. - Zak Seidov, Jan 16 2007

If X is an n-set and Y and Z disjoint 2-subsets of X then a(n-3) is equal to the number of 3-subests of X intersecting both Y and Z. - Milan R. Janjic (agnus(AT)blic.net), Aug 26 2007

REFERENCES

T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 3.

LINKS

Milan Janjic, Two Enumerative Functions

Tanya Khovanova, Recursive Sequences

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 316

William A. Stein, Dimensions of the spaces S_k(Gamma_0(N))

William A. Stein, The modular forms database

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

MAPLE

with(finance):seq(add(cashflows([0, 0, 4], 0 ), k=1..n), n=0..58); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 22 2008

CROSSREFS

Sequence in context: A086133 A100716 A076310 this_sequence A059558 A008574 A085127

Adjacent sequences: A008583 A008584 A008585 this_sequence A008587 A008588 A008589

KEYWORD

nonn

AUTHOR

njas

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


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