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A010745
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Shifts 5 places left under inverse binomial transform.
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5
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1, 2, 4, 8, 16, 1, 1, 1, 1, 1, -30, 124, -336, 734, -1401, 2404, -3485, 2212, 14630, -105408, 497131, -1995782, 7265342, -24576128, 77966104, -231218343, 626012198, -1430352680, 1894959964, 6114950887, -73791743479, 472896657475, -2523776826105, 12272646042530
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internal format)
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OFFSET
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0,2
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LINKS
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M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]
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FORMULA
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G.f. A(x) satisfies: A(x) = 1 + 2*x + 4*x^2 + 8*x^3 + 16*x^4 + x^5*A(x/(1 + x))/(1 + x). - Ilya Gutkovskiy, Feb 02 2022
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MAPLE
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a:= proc(n) option remember; (m-> `if`(m<0, 2^n,
add(a(m-j)*binomial(m, j)*(-1)^j, j=0..m)))(n-5)
end:
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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