A107054 - OEIS

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A107054

Denominators of coefficients that satisfy: 5^n = Sum_{k=0..n} c(k)*x^k for n>=0, where c(k) = A107053(k)/a(k).

1, 1, 1, 27, 216, 675000, 72900000, 60036284700000, 491817244262400000, 261371848108054118400000, 3267148101350676480000000000, 932155482929918252063784929280000000000

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OFFSET

0,4

LINKS

Table of n, a(n) for n=0..11.

FORMULA

A107053(n)/a(n) = Sum_{k=0..n} T(n, k)*5^k where T(n, k) = A107045(n, k)/A107046(n, k) = [A079901^-1](n, k) (matrix inverse of A079901).

EXAMPLE

5^0 = 1;

5^1 = 1 + (4)*1;

5^2 = 1 + (4)*2 + (4)*2^2;

5^3 = 1 + (4)*3 + (4)*3^2 + (76/27)*3^3;