id:A124794 - OEIS Search Results

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Coefficients of incomplete Bell polynomials in the prime factorization order.

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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=1k1+2*k2+....`
	LINKS	`MathWorld, Bell Polynomial` `MathWorld, Faa di Bruno's Formula`
	FORMULA	`For n=p1^k1p2^k2... where 2=p1<p2<... are the sequence of all primes, a(n) = a([k1,k2,...]) = (k1+2k2+...)!/((k1!k2!...)(1!^k12!^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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