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URL: https://oeis.org/A092607

⇱ A092607 - OEIS


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A092607
Length of longest contiguous block of ones in binary representation of n!.
1
1, 1, 1, 2, 2, 4, 2, 3, 3, 2, 5, 2, 6, 3, 3, 3, 3, 6, 5, 3, 5, 5, 5, 6, 4, 6, 6, 6, 4, 5, 6, 3, 3, 7, 6, 5, 5, 12, 8, 10, 8, 5, 5, 7, 6, 5, 8, 9, 8, 6, 4, 6, 7, 7, 7, 6, 8, 5, 8, 8, 7, 5, 9, 8, 8, 7, 7, 11, 7, 7, 8, 14, 10, 9, 7, 7, 7, 6, 7, 8, 10, 8, 10, 9, 7, 7, 5, 7, 7, 7, 9, 8, 7, 8, 10, 6, 8, 7
OFFSET
0,4
FORMULA
a(n) = A038374(A000142(n)).
EXAMPLE
n = 10: 10! = 3628800 = '1101110101111100000000' = '.........11111........': a(10) = 5.
MATHEMATICA
a[n_] := Max[Length /@ Split[IntegerDigits[n!, 2]][[1 ;; -1 ;; 2]]]; Array[a, 100, 0] (* Amiram Eldar, Jul 29 2025 *)
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Apr 11 2004
STATUS
approved