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 A294567 a(n) = Sum_{d|n} d^(1 + 2*n/d). 2
 1, 9, 28, 97, 126, 588, 344, 2049, 2917, 6174, 1332, 53764, 2198, 52320, 258648, 430081, 4914, 2463429, 6860, 8352582, 15181712, 8560308, 12168, 242240964, 48843751, 134606598, 1167064120, 1651526120, 24390, 14202123408, 29792, 25905102849, 94162701936 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS If p is prime, a(p) = 1 + p^3. - Robert Israel, Nov 03 2017 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..3143 FORMULA L.g.f.: -log(Product_{k>=1} (1 - k^2*x^k)) = Sum_{n>=1} a(n)*x^n/n. - Ilya Gutkovskiy, Mar 12 2018 MAPLE f:= n -> add(d^(1+2*n/d), d=numtheory:-divisors(n)): map(f, [\$1..100]); # Robert Israel, Nov 03 2017 PROG (PARI) a(n) = sumdiv(n, d, d^(1+2*n/d)); \\ Michel Marcus, Nov 02 2017 CROSSREFS Column k=2 of A294579. Cf. A292164. Sequence in context: A001158 A171215 A296601 * A053819 A294287 A085292 Adjacent sequences:  A294564 A294565 A294566 * A294568 A294569 A294570 KEYWORD nonn AUTHOR Seiichi Manyama, Nov 02 2017 STATUS approved

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Last modified December 9 09:21 EST 2019. Contains 329877 sequences. (Running on oeis4.)