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A320008
a(0) = 1; for n > 0, a(n) = A000120(n) * a(n-A000120(n)), where A000120(n) is the binary weight of n.
3
1, 1, 1, 2, 2, 4, 4, 6, 6, 12, 12, 18, 24, 36, 54, 72, 72, 144, 144, 216, 288, 432, 648, 864, 1296, 1944, 2592, 3456, 5832, 7776, 10368, 12960, 12960, 25920, 25920, 38880, 51840, 77760, 116640, 155520, 233280, 349920, 466560, 622080, 1049760, 1399680, 1866240, 2332800, 3732480, 5598720, 6998400, 9331200, 16796160, 22394880, 27993600, 34992000
OFFSET
0,4
COMMENTS
Sequence is monotonic because A011371 is.
FORMULA
a(0) = 1; for n > 0, a(n) = A000120(n) * a(n-A000120(n)).
MATHEMATICA
Nest[Append[#1, #2 #1[[-#2]] ] & @@ {#, Total@ IntegerDigits[Length@ #, 2]} &, {1}, 55] (* Michael De Vlieger, Nov 25 2018 *)
PROG
(PARI) A320008(n) = if(0==n, 1, hammingweight(n)*A320008(n-hammingweight(n)));
CROSSREFS
Cf. also A320002, A320009.
Sequence in context: A211511 A211513 A309686 * A127370 A352792 A373943
KEYWORD
nonn
AUTHOR
Antti Karttunen, Nov 24 2018
STATUS
approved