The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A321287 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A321287

Expansion of Product_{k>=1} (1 + x^k)^tau_k(k), where tau_k(k) = number of ordered k-factorizations of k (A163767).
(history; published version)

#15 by Vaclav Kotesovec at Sat Nov 03 11:46:05 EDT 2018

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proposed

approved

#14 by Seiichi Manyama at Sat Nov 03 10:59:16 EDT 2018

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editing

proposed

#13 by Seiichi Manyama at Sat Nov 03 10:58:08 EDT 2018

LINKS

Seiichi Manyama, <a href="/A321287/b321287.txt">Table of n, a(n) for n = 0..1000</a>

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approved

editing

#12 by Bruno Berselli at Sat Nov 03 10:31:14 EDT 2018

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reviewed

approved

#11 by Vaclav Kotesovec at Sat Nov 03 06:51:22 EDT 2018

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proposed

reviewed

#10 by Vaclav Kotesovec at Sat Nov 03 06:51:15 EDT 2018

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editing

proposed

#9 by Vaclav Kotesovec at Sat Nov 03 06:49:44 EDT 2018

MATHEMATICA

tau[n_, 1] = 1; tau[n_, k_]:=tau[n, k] = Plus @@ (tau[#, k-1] & /@ Divisors[n]); nmax = 40; CoefficientList[Series[Product[(1+x^k)^tau[k, k], {k, 1, nmax}], {x, 0, nmax}], x] (* Vaclav Kotesovec, Nov 03 2018, after Robert G. Wilson v *)

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proposed

editing

#8 by Seiichi Manyama at Fri Nov 02 10:43:51 EDT 2018

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editing

proposed

#7 by Seiichi Manyama at Fri Nov 02 10:43:42 EDT 2018

CROSSREFS

Cf. A163767, A304965, A321191A321192.

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proposed

editing

#6 by Seiichi Manyama at Fri Nov 02 10:42:57 EDT 2018

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editing

proposed