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A001876
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Number of divisors of n of form 5k+1.
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1
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0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 3, 1, 1, 1, 1, 2, 3, 1, 2, 1, 2, 1, 3, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 4, 1, 1, 1, 1, 2, 3, 1, 1, 1, 2, 2, 3, 1, 2
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,7
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FORMULA
| G.f.: Sum x^(5n+1)/(1-x^(5n+1)), n=0..inf.
G.f.: sum(n>=1, x^n/(1-x^(5*n)) ) - Joerg Arndt, Jan 30 2011
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MATHEMATICA
| CoefficientList[ Series[ Together[ Sum[ x^n/(1 - x^(5n)), {n, 110}]], {x, 0, 110}], x] (* Robert G. Wilson, Jan 31 2011 *)
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CROSSREFS
| For numbers of divisors of n of form 5k+i (i=1, 2, 3, 4) see: this sequence, A001877, A001878, A001899.
Cf. A001877, A001878, A001899.
Sequence in context: A133687 A097587 A001179 * A033182 A053797 A002635
Adjacent sequences: A001873 A001874 A001875 * A001877 A001878 A001879
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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