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 A359237 Number of divisors of 5*n-3 of form 5*k+1. 6
 1, 1, 2, 1, 2, 1, 2, 1, 3, 1, 2, 1, 2, 1, 3, 2, 2, 1, 2, 1, 3, 1, 3, 1, 2, 1, 4, 1, 2, 2, 2, 1, 3, 1, 2, 1, 3, 2, 4, 1, 2, 1, 2, 2, 3, 1, 2, 1, 3, 1, 5, 1, 2, 1, 3, 1, 3, 2, 2, 2, 2, 1, 4, 1, 3, 1, 2, 1, 3, 1, 4, 3, 2, 1, 4, 1, 2, 1, 3, 1, 3, 2, 2, 1, 2, 2, 5, 1, 3, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Also number of divisors of 5*n-3 of form 5*k+2. LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 FORMULA a(n) = A001876(5*n-3) = A001877(5*n-3). G.f.: Sum_{k>0} x^k/(1 - x^(5*k-3)). G.f.: Sum_{k>0} x^(2*k-1)/(1 - x^(5*k-4)). PROG (PARI) a(n) = sumdiv(5*n-3, d, d%5==1); (PARI) a(n) = sumdiv(5*n-3, d, d%5==2); (PARI) my(N=100, x='x+O('x^N)); Vec(sum(k=1, N, x^k/(1-x^(5*k-3)))) (PARI) my(N=100, x='x+O('x^N)); Vec(sum(k=1, N, x^(2*k-1)/(1-x^(5*k-4)))) CROSSREFS Cf. A001876, A001877, A359233, A359236, A359238. Sequence in context: A235726 A060938 A087942 * A327925 A320012 A359508 Adjacent sequences: A359234 A359235 A359236 * A359238 A359239 A359240 KEYWORD nonn,easy AUTHOR Seiichi Manyama, Dec 22 2022 STATUS approved

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Last modified June 4 21:13 EDT 2023. Contains 363130 sequences. (Running on oeis4.)