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A008587 Multiples of 5. 57
0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

1/31 = .0322580645..., = .5^5 + .5^10 + .5^15 + ... [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 14 2009]

Complement of A047201; A079998(a(n))=1; A011558(a(n))=0. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Nov 30 2009]

The y-intercept of a line perpendicular to y=mx,where m is the slope a/b and in this case a=2 and b=1, is a^2+b^2 or 5, the first value of the list given. The remaining value are multiples of the first number of the list. [From larry zimmermann (larry.j.zimmermann(AT)lonestar.edu), Aug 21 2010]

LINKS

Index entries for sequences related to linear recurrences with constant coefficients, signature (2,-1).

Tanya Khovanova, Recursive Sequences

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 317

FORMULA

O.g.f.: 5x/(1-x)^2. a(n)=A008706(n), n>0. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 26 2008

a(n)=Sum_k>=0 {A030308(n,k)*A020714(k)}. - From DELEHAM Philippe, Oct 17 2011.

MATHEMATICA

Range[0, 500, 5] (* From Vladimir Joseph Stephan Orlovsky (4vladimir(AT)gmail.com), May 26 2011 *)

CROSSREFS

Cf. index to numbers of the form n*(d*n+10-d)/2 in A140090.

Sequence in context: A063284 A092454 A008706 * A172336 A140233 A172328

Adjacent sequences:  A008584 A008585 A008586 * A008588 A008589 A008590

KEYWORD

nonn,easy

AUTHOR

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

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Last modified February 9 00:19 EST 2012. Contains 205166 sequences.