A321357 Expansion of Product_{k>=0} (1 + x^(5^k))^(5^(k+1)).

1, 5, 10, 10, 5, 26, 125, 250, 250, 125, 325, 1500, 3000, 3000, 1500, 2600, 11500, 23000, 23000, 11500, 14950, 63250, 126500, 126500, 63250, 65905, 266275, 532550, 532550, 266275, 233480, 901125, 1802250, 1802250, 901125, 698425, 2591000, 5182000, 5182000, 2591000

Offset

0,2

Comments

Also the coefficient of x^(5*n) in the expansion of Product_{k>=0} (1 + x^(5^k))^(5^k).

Links

Table of n, a(n) for n=0..39.

Example

Product_{k>=0} (1 + x^(5^k))^(5^k) = 1 + x + 5*x^5 + 5*x^6 + 10*x^10 + 10*x^11 + 10*x^15 + 10*x^16 + 5*x^20 + 5*x^21 + 26*x^25 + 26*x^26 + ... .

Crossrefs

Cf. A073708, A321354, A321355.

Sequence in context: A062986 A291380 A280718 * A065755 A346007 A135912

Adjacent sequences: A321354 A321355 A321356 * A321358 A321359 A321360

Keyword

nonn

Author

Seiichi Manyama, Nov 07 2018

Status

approved