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A160475
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First left hand column of the Zeta triangle A160474
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1
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-1, 51, -10594, 356487, -101141295, 48350824787, -2405967772180, 5296878246375849, -24680641353374049205, 12431632076904547636178, -34807634670487142385955264, 5037797143580320963623681605
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OFFSET
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2,2
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LINKS
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MAPLE
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nmax:=13; with(combinat): cfn1 := proc(n, k): sum((-1)^j*stirling1(n+1, n+1-k+j) * stirling1(n+1, n+1-k-j), j=-k..k) end proc: Omega(0):=1: for n from 1 to nmax do Omega(n) := (sum((-1)^(k1+n+1)*(bernoulli(2*k1)/(2*k1))*cfn1(n-1, n-k1), k1=1..n))/(2*n-1)! end do: for n from 1 to nmax do d(n):= 2^(2*n-1)*Omega(n) end do: for n from 2 to nmax do Zc(n-1) := d(n-1)*2/((2*n-1)*(n-1)) end do: c(1) := denom(Zc(1)): for n from 1 to nmax-1 do c(n+1) := lcm(c(n)*(n+1)*(2*n+3)/2, denom(Zc(n+1))); p(n+1) := c(n) end do: y(1) := Zc(1): for n from 1 to nmax-2 do y(n+1) := Zc(n+1)-((2*n+2)/(2*n+3))*y(n) end do: for n from 2 to nmax do ZETA(n, 1) := p(n)*y(n-1) end do: seq(ZETA(n, 1), n=2..nmax);
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CROSSREFS
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KEYWORD
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easy,sign
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AUTHOR
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STATUS
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approved
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