1,3

Apart from leading term, number of M-sequences from multicomplexes on at most 4 variables with no monomial of degree more than n+1.

Stirling-2 transform of a(n) = [1, 1, 2, 6, 26, ...] is a(n+1) = [1, 2, 6, 26, ...].

Eigensequence of Stirling-2 triangle A008277. - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Mar 23 2007

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.

M. Bernstein, N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 22 2008]

M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210.

N. J. A. Sloane, Transforms

Istvan Mezo, On powers of Stirling matrices, Dec 21, 2008. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 22 2008]

E.g.f. A(x) satisfies A(x)'=1+A(exp(x)-1).

(PARI) {a(n)=local(A, E); if(n<0, 0, A=O(x); E=exp(x+x*O(x^n))-1; for(m=1, n, A=intformal( subst( 1+A, x, E+x*O(x^m)))); n!*polcoeff(A, n))} /* Michael Somos Mar 08 2004 */

Cf. A048801.

Cf. A153277, A153278. [From Jonathan Vos Post (jvospost3(AT)gmail.com), Dec 22 2008]

Sequence in context: A159311 A000629 A032187 this_sequence A159602 A032271 A107104

Adjacent sequences: A003656 A003657 A003658 this_sequence A003660 A003661 A003662

nonn,nice,eigen

N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein