A264977 -id:A264977 - cp's OEIS frontend

A277884 a(n) = A277814(A277826(n)).

0, 1, 2, 3, 4, 1, 5, 6, 7, 8, 2, 6, 9, 1, 10, 11, 12, 13, 14, 6, 4, 8, 10, 15, 16, 13, 2, 11, 17, 1, 18, 19, 20, 21, 22, 6, 23, 13, 10, 3, 7, 1, 14, 15, 17, 8, 24, 25, 26, 27, 22, 11, 4, 13, 18, 25, 28, 21, 2, 19, 29, 1, 30, 31, 32, 33, 34, 6, 35, 21, 10, 25, 36, 37, 22, 3, 17, 13, 5, 15, 12, 38, 2, 15, 23, 1, 24, 39, 28, 37, 14, 25, 40, 8, 41

Offset: 0

Antti Karttunen, Nov 06 2016

Antti Karttunen, Table of n, a(n) for n = 0..65537

Cf. A264977, A277814.
Left inverse of A277817.
Cf. A277701, A277712, A277713, A277715 (positions of 1, 2, 3 and 8 in this sequence).
Cf. A277824, A277826 and their scatter-plots.

(define (A277884 n) (A277814 (A277826 n)))

a(n) = A277814(A277826(n)).
Other identities. For all n >= 0:
a(A277817(n)) = n.

A284266 Odd bisection of A277700, binary weight of terms of A283975.

Original entry on oeis.org

1, 2, 1, 3, 2, 3, 1, 4, 3, 3, 2, 3, 3, 4, 1, 5, 4, 3, 3, 2, 1, 3, 2, 3, 3, 4, 3, 3, 4, 5, 1, 6, 5, 3, 4, 3, 3, 2, 3, 3, 2, 3, 1, 4, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 4, 3, 5, 4, 3, 5, 6, 1, 7, 6, 3, 5, 4, 3, 3, 4, 5, 3, 2, 3, 5, 2, 3, 3, 4, 3, 3, 2, 5, 3, 4, 1, 5, 2, 3, 3, 6, 3, 3, 2, 3, 3, 4, 3, 5, 2, 3, 3, 2, 1, 3, 2, 5, 3, 4, 3, 5, 4, 5, 3, 4, 3, 3, 4, 5, 3

Offset: 0

Antti Karttunen, Mar 25 2017

nonn

Antti Karttunen, Table of n, a(n) for n = 0..8192
Index entries for sequences related to binary expansion of n

Cf. A000120, A007306, A277700, A283484, A283975, A284265.

A264977[n_]:= If[n<2, n, If[EvenQ[n], 2 A264977[n/2], BitXor[A264977[(n - 1)/2], A264977[(n + 1)/2]]]]; Table[DigitCount[A264977[2n + 1], 2, 1], {n, 0, 150}] (* Indranil Ghosh, Mar 28 2017 *)

a(n) = if(n<2, n, if(n%2, bitxor(a((n - 1)/2), a((n + 1)/2)), 2*a(n/2)));
b(n) = if(n<1, 0, b(n\2) + n%2);
for(n=0, 150, print1(b(a(2*n + 1)),", ")) \\ Indranil Ghosh, Mar 28 2017

(define (A284266 n) (A277700 (+ n n 1)))
(define (A284266 n) (A000120 (A283975 n)))

a(n) = A277700((2*n)+1).
a(n) = A000120(A283975(n)).
Other identities. For all n >= 0:
A007306(1+n) = a(n) + 2*A284265(n).

cp's OEIS Frontend

A277884 a(n) = A277814(A277826(n)).

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