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A089470
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Self-convolution of this sequence is equal to its hyperbinomial transform and results in A089471.
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1
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1, 1, 4, 29, 303, 4108, 68165, 1334403, 30056112, 764920823, 21694511367, 678288426792, 23173084581845, 858785085529061, 34311202499100416, 1470080434980994825, 67236889676684657943, 3269565144147886318168
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listen;
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internal format)
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OFFSET
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0,3
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COMMENTS
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See A088956 for the definition of the hyperbinomial transform.
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LINKS
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FORMULA
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A089471(n) = sum(k=1, n, a(k)*a(n-k)); A089471(n) = sum(k=0, n, (n-k+1)^(n-k-1)*binomial(n, k)*a(k)).
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EXAMPLE
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The self-convolution at n=4: 303*1+29*1+4*4+1*29+1*303 = 680 = A089471(4) and equals the hyperbinomial transform at n=4: 125*1+64*1+18*4+4*29+1*303 = 680 = A089471(4).
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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