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Search: id:A003659
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| A003659 |
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Shifts left under Stirling-2 transform.
(Formerly M1681)
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+0
5
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| 1, 1, 2, 6, 26, 152, 1144, 10742, 122772, 1673856, 26780972, 496090330, 10519217930, 252851833482, 6832018188414, 205985750827854, 6885220780488694, 253685194149119818, 10250343686634687424
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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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
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REFERENCES
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S. Linusson, The number of M-sequences and f-vectors, Combinatorica, 19 (1999), 255-266.
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LINKS
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M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Algebra and Its Applications, vol. 226-228, pp. 57-72, 1995 (Abstract, pdf, ps)
N. J. A. Sloane, Transforms
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FORMULA
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E.g.f. A(x) satisfies A(x)'=1+A(exp(x)-1).
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PROGRAM
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(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 */
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CROSSREFS
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Cf. A048801.
Adjacent sequences: A003656 A003657 A003658 this_sequence A003660 A003661 A003662
Sequence in context: A103937 A000629 A032187 this_sequence A032271 A107104 A123306
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KEYWORD
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nonn,nice,eigen
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AUTHOR
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njas, Mira Bernstein
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