A114391 -id:A114391 - cp's OEIS frontend

A114394 First differences of A114391.

1, 1, 1, 2, 1, 1, 4, 2, 1, 1, 8, 1, 3, 2, 1, 1, 16, 2, 6, 4, 2, 1, 1, 32, 4, 12, 1, 7, 4, 2, 1, 1, 61, 3, 8, 24, 2, 14, 8, 4, 2, 1, 1, 122, 3, 3, 16, 48, 4, 28, 1, 15, 8, 4, 2, 1, 1, 244, 6, 3, 3, 32, 96, 8, 56, 2, 30, 7, 9, 8, 4, 2, 1, 1, 488, 12, 6, 3, 3, 64, 185, 7, 16, 112, 4, 60, 1, 13

Offset: 1

Antti Karttunen, Feb 07 2006

nonn

A114390 a(n) = A065621(n^2).

Original entry on oeis.org

1, 4, 25, 16, 41, 100, 81, 64, 241, 164, 137, 400, 505, 324, 289, 256, 865, 964, 953, 656, 713, 548, 1585, 1600, 1681, 2020, 1897, 1296, 1497, 1156, 1089, 1024, 3265, 3460, 3417, 3856, 4073, 3812, 3601, 2624, 2993, 2852, 2377, 2192, 2105, 6340

Offset: 1

Antti Karttunen, Feb 07 2006

nonn

Cf. A000290, A065621.

A114391 gives the positions where a(n) is square, A114392 gives the corresponding values (squares) and A114393 gives their square roots.

def A114390(n): return (m:=n**2)^ (m&~-m)<<1 # Chai Wah Wu, Jun 29 2022

a(n) = A065621(A000290(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.

A114392 Squares in A114390, in order of appearance.

Original entry on oeis.org

1, 4, 25, 16, 100, 81, 64, 400, 324, 289, 256, 1600, 1681, 1296, 1156, 1089, 1024, 6400, 6724, 5184, 4624, 4356, 4225, 4096, 25600, 26896, 20736, 21025, 18496, 17424, 16900, 16641, 16384, 105625, 102400, 107584, 82944, 84100, 73984, 69696

Offset: 1

Antti Karttunen, Feb 07 2006

nonn

a(n) = A114390(A114391(n)) = A114393(n)^2.

cp's OEIS Frontend

A114394 First differences of A114391.

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A114390 a(n) = A065621(n^2).

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Python

Formula

A277704 Positions of squares in A277699.

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A114392 Squares in A114390, in order of appearance.

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