A344370 - OEIS

A344370

Dirichlet g.f.: Product_{k>=2} (1 + k^(1-s)).

1, 2, 3, 4, 5, 12, 7, 16, 9, 20, 11, 36, 13, 28, 30, 32, 17, 54, 19, 60, 42, 44, 23, 120, 25, 52, 54, 84, 29, 150, 31, 96, 66, 68, 70, 180, 37, 76, 78, 200, 41, 210, 43, 132, 135, 92, 47, 336, 49, 150, 102, 156, 53, 270, 110, 280, 114, 116, 59, 540

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..60.

FORMULA

a(n) = n * A045778(n).

MATHEMATICA

T[m_, 1] := 1; T[1, n_] := 0; T[1, 1] := 1; T[0, n_] := 0; T[m_, n_] := T[m, n] = Total[T[# - 1, n/#] & /@ Select[Divisors[n], # <= m &]]; A045778[n_] := T[n, n]; Table[n A045778[n], {n, 60}]

CROSSREFS

Cf. A022629, A045778, A050368, A050369, A224892, A344368, A344369.

Sequence in context: A227987 A261863 A327262 * A143482 A193679 A066574

Adjacent sequences: A344367 A344368 A344369 * A344371 A344372 A344373

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, May 16 2021

STATUS

approved