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A270883
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Row sums of triangle A270882. Number of direct-sum decompositions of an n-dimensional vector space over GF(2) with any given nonzero vector in a block.
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1
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1, 1, 3, 29, 961, 110657, 45148929, 66294748161, 355213310611457, 7025248750804353025, 517789725632146766102529, 143350189472963401121415823361, 150053549525040193876302690826321921, 597137918840965720442548744290289324130305, 9075744511279922489436849557317778793074029232129
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OFFSET
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0,3
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LINKS
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FORMULA
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Recurrence: a(n) = Sum_{k=0,...,n-1} q-binomial(n-1,k)*q^(n*(n-k))*D_q(k) where D_q(k) is given by A270881 for q = 2 and where the q-binomial for q = 2 is given by A022166. This summation formula is the q-analog of the summation formula for the Bell numbers A000110 when q = 1. - David P. Ellerman, Mar 26 2016
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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