A321354 -id:A321354 - cp's OEIS frontend

A321355 Expansion of Product_{k>=0} (1 + x^(4^k))^(4^(k+1)).

1, 4, 6, 4, 17, 64, 96, 64, 136, 480, 720, 480, 680, 2240, 3360, 2240, 2444, 7536, 11304, 7536, 7276, 21568, 32352, 21568, 21080, 62752, 94128, 62752, 62968, 189120, 283680, 189120, 178646, 525464, 788196, 525464, 454614, 1292992, 1939488, 1292992, 1085688, 3049760

Offset: 0

Seiichi Manyama, Nov 07 2018

nonn

Also the coefficient of x^(4*n) in the expansion of Product_{k>=0} (1 + x^(4^k))^(4^k).

			Product_{k>=0} (1 + x^(4^k))^(4^k) = 1 + x + 4*x^4 + 4*x^5 + 6*x^8 + 6*x^9 + 4*x^12 + 4*x^13 + 17*x^16 + 17*x^17 + 64*x^20 + 64*x^21 + 96*x^24 + 96*x^25 + ... .

Cf. A073708, A321345, A321354, A321357.

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

Original entry on oeis.org

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

Seiichi Manyama, Nov 07 2018

nonn

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

			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 + ... .

Cf. A073708, A321354, A321355.

cp's OEIS Frontend

A321355 Expansion of Product_{k>=0} (1 + x^(4^k))^(4^(k+1)).

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