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A082906
Sum of terms in n-th row of modified Pascal's triangle displayed in A082905.
1
1, 2, 4, 8, 12, 32, 22, 128, 140, 350, 294, 2048, 1638, 8192, 4890, 15878, 32908, 131072, 81184, 524288, 493582, 1165676, 1393770, 8388608, 5771318, 26910682, 23162026, 89478836, 131854546, 536870912, 352862112, 2147483648, 2147516556
OFFSET
0,2
COMMENTS
In A082905, all binomial coefficients C(n,j) are replaced by C(n/g, j/g), where g=gcd(n,j); a(n) = Sum_{j=0..n-1} C(n/g, j/g).
EXAMPLE
a(0)=1; a(12) = 1 + 12 + 6 + 4 + 3 + 792 + 2 + 792 + 3 + 4 + 6 + 12 + 1 = 1638.
MATHEMATICA
Table[Apply[Plus, Table[Binomial[n/GCD[n, j], j/GCD[n, j]], {j, 0, n}]], {n, 0, 32}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Apr 23 2003
STATUS
approved