LINKS
Harvey P. Dale, <a href="/A308501/b308501_1.txt">Table of n, a(n) for n = 0..404</a>
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Revision History for A308501
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
STATUS
editing
approved
LINKS
Harvey P. Dale, <a href="/A308501/b308501_1.txt">Table of n, a(n) for n = 0..404</a>
STATUS
approved
editing
STATUS
editing
approved
MATHEMATICA
Join[{1}, FoldList[Times, Select[Range[0, 50], OddQ[DigitCount[#, 2, 1]]&]]] (* Harvey P. Dale, Aug 09 2024 *)
STATUS
approved
editing
STATUS
reviewed
approved
STATUS
proposed
reviewed
STATUS
editing
proposed
NAME
allocated for Michel MarcusPartial products of odious numbers.
DATA
1, 1, 2, 8, 56, 448, 4928, 64064, 896896, 14350336, 272656384, 5725784064, 125967249408, 3149181235200, 81878712115200, 2292603939225600, 71070722115993600, 2274263107711795200, 79599208769912832000, 2945170724486774784000, 111916487530497441792000, 4588575988750395113472000
OFFSET
0,3
LINKS
J.-P. Allouche, <a href="https://arxiv.org/abs/1906.10532">The zeta-regularized product of odious numbers</a>, arXiv:1906.10532 [math.NT], 2019.
FORMULA
a(n) = Product_{k=1..n} A000069(k).
PROG
(PARI) f(n) = 2*n - 1 - hammingweight(n-1)%2; \\ A000069
a(n) = prod(k=1, n, f(k))
CROSSREFS
Cf. A000069 (odious numbers).
KEYWORD
allocated
nonn
AUTHOR
Michel Marcus, Jun 26 2019
STATUS
approved
editing
NAME
allocated for Michel Marcus
KEYWORD
recycled
allocated