The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A163755

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A163755

a(0)=1. For n>=1, write n in binary. Let b(n,m) be the length of the m-th run of 0's or 1's, reading right to left. Then a(n) = product{m=1 to M} p(m)^b(n,m), where p(m) is the m-th prime, and M is the number of runs of 0's and 1's in binary n.
(history; published version)

#15 by Michael De Vlieger at Mon Apr 25 08:10:43 EDT 2022

STATUS

proposed

approved

#14 by Antti Karttunen at Sun Apr 24 14:49:03 EDT 2022

STATUS

editing

proposed

#13 by Antti Karttunen at Sun Apr 24 14:48:56 EDT 2022

FORMULA

a(n) = A057335(A341915(n)). [Found by a LODA miner, should be easy to prove] - Antti Karttunen, Apr 22 2022

STATUS

proposed

editing

#12 by Antti Karttunen at Sun Apr 24 14:48:27 EDT 2022

STATUS

editing

proposed

#11 by Antti Karttunen at Sun Apr 24 14:46:20 EDT 2022

FORMULA

a(n) = A057335(A341915(n)). [Found by a LODA miner, should be easy to prove] - Antti Karttunen, Apr 22 2022

Discussion

Sun Apr 24

14:48

Antti Karttunen: There seems to be something fishy in the formal definition (at the name-line) of A341915, but I guess what it is really meant there (looking e.g., at Remy's PARI-code).

#10 by Antti Karttunen at Fri Apr 22 04:19:06 EDT 2022

CROSSREFS

Cf. also A005940, A163511.

#9 by Antti Karttunen at Fri Apr 22 04:01:44 EDT 2022

LINKS

Christian Krause, Simon Strandgaard, et al, <a href="https://github.com/loda-lang/loda-programs/blob/main/oeis/163/A163755.asm">A mined LODA assembly source for this sequence</a>

<a href="https://github.com/loda-lang/loda-programs/blob/main/oeis/163/A163755.asm">A mined LODA assembly source for this sequence</a>

CROSSREFS

Cf. A055932, A057335, A341915.

#8 by Antti Karttunen at Fri Apr 22 04:01:06 EDT 2022

LINKS

Christian Krause, Simon Strandgaard, et al,

<a href="https://github.com/loda-lang/loda-programs/blob/main/oeis/163/A163755.asm">A mined LODA assembly source for this sequence</a>

FORMULA

a(n) = A057335(A341915(n)). [Found by a LODA miner] - Antti Karttunen, Apr 22 2022

STATUS

approved

editing

#7 by Charles R Greathouse IV at Tue Mar 11 01:32:44 EDT 2014

AUTHOR

__Leroy Quet__, , Aug 03 2009

Discussion

Tue Mar 11

01:32

OEIS Server: https://oeis.org/edit/global/2122

#6 by N. J. A. Sloane at Wed Feb 05 20:18:59 EST 2014

AUTHOR

__Leroy Quet_, _, Aug 03 2009

Discussion

Wed Feb 05

20:18

OEIS Server: https://oeis.org/edit/global/2118