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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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MAPLE
| restart; nmax:=17: jn:=nmax: im:=nmax: Omega(0):=1: for n from 1 to nmax do for j from 1 to jn do cfn1(1, j):=1 end do: for i from 2 to im do cfn1(i, 1):=0 end do: for j from 2 to jn do for i from 2 to im do cfn1(i, j):=cfn1(i-1, j-1)*(j-1)^2+cfn1(i, j-1) end do end do: Omega(n):= (sum((-1)^(k+n+1)*(bernoulli(2*k)/(2*k))*cfn1(n-k+1, n), k=1..n))/(2*n-1)! end do: for n from 1 to nmax do d(n):=(Omega(n)*2^(2*n-1)) 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: a:=n-> ZETA(n, 1): seq(a(n), n=2..nmax);
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CROSSREFS
| A160474 is the Zeta triangle.
Sequence in context: A093251 A184282 A206395 * A202886 A200798 A198904
Adjacent sequences: A160472 A160473 A160474 * A160476 A160477 A160478
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KEYWORD
| easy,sign
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AUTHOR
| Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009
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