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A354656
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Column 3 of triangle A354650: a(n) = A354650(n,3), for n >= 1.
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5
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1, 30, 340, 2530, 14595, 70737, 301070, 1157820, 4100785, 13563010, 42321840, 125586440, 356621070, 973989030, 2569116330, 6567458520, 16317741975, 39504992395, 93390535840, 215983566780, 489454806785, 1088433416785, 2378160809610, 5111208572940, 10816601842950
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OFFSET
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1,2
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LINKS
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FORMULA
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a(n) = (-1)^n * A354649(n,3), for n >= 1.
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PROG
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(PARI) {A354650(n, k) = my(A=[1+y]); for(i=1, n, A = concat(A, 0);
A[#A] = polcoeff(y + sum(m=0, sqrtint(2*#A+9), (-1)^m * x^(m*(m-1)/2) * (1 - x^(2*m+1)) * Ser(A)^(m*(m+1)/2) ), #A-1) );
polcoeff(A[n+1], k, y)}
for(n=1, 30, print1(A354650(n, 3), ", "))
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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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