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A136631
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Antidiagonal sums of triangle A136630, omitting antidiagonals of all zeros.
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1
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1, 1, 2, 6, 28, 177, 1449, 14869, 185230, 2738962, 47287352, 939759621, 21241309681, 540698975061, 15370957337418, 484433735633218, 16817886069720724, 639545680226171989, 26507567678760284105
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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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a(n) = Sum_{k=0..n} [x^(2n-2k)] Product_{j=0..[k/2]} 1/(1 - (2j + k-2[k/2])^2*x^2).
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PROG
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(PARI) {a(n)=sum(k=0, n, polcoeff(1/prod(j=0, k\2, 1-(2*j+(k%2))^2*x^2 +x*O(x^(2*n-2*k))), 2*n-2*k))}
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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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