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Search: id:A033463
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| 1, 8, 50, 248, 1048, 3952, 13696, 44480, 137216, 406016, 1160704, 3223552, 8734720, 23171072, 60342272, 154615808, 390529024, 973864960, 2400845824, 5857869824, 14159446016, 33935065088
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OFFSET
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0,2
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FORMULA
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a(n) = 2^(n-4)*(n^4+6*n^3+19*n^2+22*n+16). E.g.f.: (1+3*x+x^2)^2*exp(2*x). O.g.f.: (1-2*x+10*x^2-12*x^3+8*x^4)/(1-2*x)^5. Recurrence: a(n) = 10*a(n-1)-40*a(n-2)+80*a(n-3)-80*a(n-4)+32*a(n-5). a(n) = Sum_{k=0..n} binomial(n, k)*(k+1)^2*(n-k+1)^2. - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 17 2003
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CROSSREFS
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Sequence in context: A076286 A133426 A163228 this_sequence A030279 A133357 A081675
Adjacent sequences: A033460 A033461 A033462 this_sequence A033464 A033465 A033466
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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