

A272178


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


0



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
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OFFSET

0,3


COMMENTS

The alternating row sums of the oddindexed rows are 0.


LINKS



FORMULA

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


PROG

(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:(nk)+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]


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



