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A061257 Euler transform of reduced totient function psi(n), cf. A002322. 14
1, 1, 2, 4, 7, 13, 21, 37, 58, 96, 153, 243, 376, 584, 897, 1353, 2046, 3060, 4552, 6714, 9862, 14386, 20898, 30198, 43427, 62159, 88600, 125804, 177881, 250615, 351819, 492203, 686294, 953954, 1321902, 1826394, 2516364, 3457332, 4737576, 6475332 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
N. J. A. Sloane, Transforms
FORMULA
G.f.: Product_{k=1..infinity} (1 - x^k)^(-psi(k)). a(n)=1/n*Sum_{k=1..n} a(n-k)*b(k), n>1, a(0)=1, b(k)=Sum_{d|k} d*psi(d), cf. A061258.
MATHEMATICA
nn = 20; b = Table[CarmichaelLambda[n], {n, nn}]; CoefficientList[Series[Product[1/(1 - x^m)^b[[m]], {m, nn}], {x, 0, nn}], x] (* T. D. Noe, Jun 19 2012 *)
CROSSREFS
Sequence in context: A026691 A018150 A019471 * A061255 A088111 A325864
KEYWORD
easy,nonn
AUTHOR
Vladeta Jovovic, Apr 21 2001
STATUS
approved

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Last modified February 21 03:04 EST 2024. Contains 370219 sequences. (Running on oeis4.)