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Search: a332996 -id:a332996
Displaying 1-2 of 2 results found. page 1
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A332998 a(n) = A000120(A332996(n)). +20
3
0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 3, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 3, 4, 1, 2, 1, 1, 2, 3, 2, 3, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 3, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 3, 1, 1, 2, 2, 2, 3 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,14
LINKS
FORMULA
a(n) = A000120(A332996(n)) = A332898(A332817(n)).
a(n) = A000120(n) - A332997(n).
Conjecture: for n >= 2, a(A086224(n-1)) = n, this being also the first occurrence of each n larger than 1.
PROG
(PARI) A332998(n) = hammingweight(A332996(n));
(PARI) A332998(n) = A332898(A332817(n));
CROSSREFS
Cf. A086224.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 05 2020
STATUS
approved
A332995 a(n) = A332895(A332817(n)). +10
3
0, 1, 2, 2, 4, 5, 4, 5, 8, 8, 10, 11, 8, 8, 10, 10, 16, 17, 16, 17, 20, 20, 22, 23, 16, 17, 16, 16, 20, 21, 20, 21, 32, 32, 34, 35, 32, 32, 34, 34, 40, 41, 40, 41, 44, 44, 46, 47, 32, 32, 34, 34, 32, 33, 32, 32, 40, 40, 42, 43, 40, 40, 42, 42, 64, 65, 64, 65, 68, 68, 70, 71, 64, 65, 64, 64, 68, 69, 68, 69, 80, 80, 82, 83, 80, 80, 82, 82, 88, 89, 88, 89, 92 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
In contrast to similarly constructed A292271, this sequence can be computed directly from the binary expansion of n, without involving primes or their distribution at all.
LINKS
FORMULA
a(n) = A332895(A332817(n)).
a(n) = n - A332996(n) = n XOR A332996(n).
A000120(a(n)) = A332997(n).
PROG
(PARI) A332995(n) = A332895(A332817(n));
CROSSREFS
Differs from a similarly constructed A292593 for the first time at n=511, where a(511) = 341, while A292593(511) = 340.
KEYWORD
nonn
AUTHOR
Antti Karttunen, Mar 05 2020
STATUS
approved
page 1

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Last modified August 30 21:29 EDT 2024. Contains 375550 sequences. (Running on oeis4.)