A277807 -id:A277807 - cp's OEIS frontend

A277806 a(n) = A000196(A277699(A277807(n))).

115, 230, 460, 461, 920, 922, 1840, 1844, 3680, 3688, 7360, 7376, 14720, 14752, 29440, 29504, 56757, 58880, 59008, 113514, 117760, 118016, 130057, 227028, 235520, 236032, 260114, 454056, 454933, 471040, 472064, 472533, 520228, 908112, 909866, 942080, 944128, 945066, 1040456, 1816224, 1819732, 1884160, 1888256, 1890132, 2034537

Offset: 1

Antti Karttunen, Nov 01 2016

A277807 lists the "sporadic" solutions to A048720(n, A065621(n)) = k^2, i.e., those solutions where n is not in A023758 (not yet proved: these are precisely those solutions where k <> n). This sequence gives the corresponding values of k.

If n is included in this sequence, then also 2n is included (and vice versa), thus the sequence is infinite and wholly determined by its odd terms.

Antti Karttunen, Table of n, a(n) for n = 1..57
Index entries for sequences related to binary expansion of n

Cf. A000196, A023758, A048720, A065621, A277699, A277704, A277807.

(define (A277806 n) (A000196 (A277699 (A277807 n))))

a(n) = A000196(A277699(A277807(n))).

A277704 Positions of squares in A277699.

Original entry on oeis.org

1, 2, 3, 4, 6, 7, 8, 12, 14, 15, 16, 24, 28, 30, 31, 32, 48, 56, 60, 62, 63, 64, 83, 96, 112, 120, 124, 126, 127, 128, 166, 192, 224, 240, 248, 252, 254, 255, 256, 332, 365, 384, 448, 480, 496, 504, 508, 510, 511, 512, 664, 730, 768, 896, 960, 992, 1008, 1016, 1020, 1022, 1023, 1024, 1328, 1460, 1536, 1792, 1920, 1984, 2016

Offset: 1

Antti Karttunen, Nov 01 2016

nonn

Antti Karttunen, Table of n, a(n) for n = 1..311

Complement: A277706.
Cf. A010052, A065621, A114391, A277699.
Cf. A023758 (a subsequence), A277807 (terms not in A023758).
Differs from A023758(1+n) and A077436(1+n) for the first time at n=23, for which a(23)=83, while A023758(24)=96 and A077436(24)=79.

cp's OEIS Frontend

A277806 a(n) = A000196(A277699(A277807(n))).

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