cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A272178 Absolute value of alternating row sum of row 2n in A238498.

Original entry on oeis.org

1, 1, 2, 10, 54, 322, 1294, 4526, 20782, 93814, 371110, 1780294, 6733918, 22513642, 92018398, 461754862, 1297077342, 5790726826, 32850248974, 94597335398, 454725608974, 2080853077822, 6173935052878, 29922219241486, 116844904688830, 448338212337298, 1975870364475334
Offset: 0

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Author

Tom Edgar, Apr 21 2016

Keywords

Comments

The alternating row sums of the odd-indexed rows are 0.

Crossrefs

Programs

  • Sage
    P=[0]+[i*prod([(1+1/x) for x in prime_divisors(i)]) for i in [1..100]]
    Tr=[[prod(P[1:n+1])/(prod(P[1:k+1])*prod(P[1:(n-k)+1])) for k in [0..n]] for n in [0..len(P)-1]]
    L=[sum((-1)^(i)*x[i] for i in [0..len(x)-1]) for x in Tr]
    [abs(y) for y in L if y!=0]

Formula

For n>0, a(n) = Sum_{k=0..2n}(-1)^(k+1)*A238498(2n,k).
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