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A220427 G.f.: exp( Sum_{n>=1} A005064(n)*x^n/n ), where A005064(n) = sum of cubes of primes dividing n. 2
1, 0, 4, 9, 10, 61, 65, 239, 440, 791, 2172, 3211, 8018, 14292, 27174, 56064, 96092, 195616, 345831, 643733, 1189397, 2102921, 3864549, 6804894, 12150956, 21419322, 37460309, 65511385, 113436266, 195931822, 336547491, 575446427, 979007055, 1660337942, 2800856388 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..34.

EXAMPLE

G.f.: A(x) = 1 + 4*x^2 + 9*x^3 + 10*x^4 + 61*x^5 + 65*x^6 + 239*x^7 +...

where

log(A(x)) = 8*x^2/2 + 27*x^3/3 + 8*x^4/4 + 125*x^5/5 + 35*x^6/6 + 343*x^7/7 + 8*x^8/8 + 27*x^9/9 + 133*x^10/10 + 1331*x^11/11 + 35*x^12/12 + 2197*x^13/13 + 351*x^14/14 + 152*x^15/15 +...+ A005064(n)*x^n/n +...

PROG

(PARI) {a(n)=polcoeff(exp(sum(k=1, n+1, sumdiv(k, d, isprime(d)*d^3)*x^k/k)+x*O(x^n)), n)}

for(n=0, 40, print1(a(n), ", "))

CROSSREFS

Cf. A005064, A219224.

Sequence in context: A115688 A115710 A082749 * A115675 A115668 A000974

Adjacent sequences:  A220424 A220425 A220426 * A220428 A220429 A220430

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Dec 14 2012

STATUS

approved

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Last modified June 13 05:17 EDT 2021. Contains 344981 sequences. (Running on oeis4.)