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A124794 Coefficients of incomplete Bell polynomials in the prime factorization order. +0
1
1, 1, 1, 1, 1, 3, 1, 1, 3, 4, 1, 6, 1, 5, 10, 1, 1, 15, 1, 10, 15, 6, 1, 10, 10, 7, 15, 15, 1, 60, 1, 1, 21, 8, 35, 45, 1, 9, 28, 20, 1, 105, 1, 21, 105, 10, 1, 15, 35, 70, 36, 28, 1, 105, 56, 35, 45, 11, 1, 210, 1, 12, 210, 1, 84, 168, 1, 36, 55, 280, 1, 105, 1, 13, 280, 45, 126, 252, 1 (list; graph; listen)
OFFSET

1,6

COMMENT

Coefficients of (D^k f)(g(t))*(D g(t))^k1*(D^2 g(t))^k2*... in the Faa di Bruno's Formula for D^m(f(g(t))) where k=k1+k2+..., m=1*k1+2*k2+....

LINKS

MathWorld, Bell Polynomial

MathWorld, Faa di Bruno's Formula

FORMULA

For n=p1^k1*p2^k2*... where 2=p1<p2<... are the sequence of all primes, a(n) = a([k1,k2,...]) = (k1+2*k2+...)!/((k1!*k2!*...)*(1!^k1*2!^k2*...)

CROSSREFS

Cf. A094416.

Sequence in context: A114476 A117184 A035690 this_sequence A097560 A027960 A131248

Adjacent sequences: A124791 A124792 A124793 this_sequence A124795 A124796 A124797

KEYWORD

nonn

AUTHOR

Max Alekseyev (maxale(AT)gmail.com), Nov 07 2006

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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