A338069 -id:A338069 - cp's OEIS frontend

A338062 Numbers k such that the Enots Wolley sequence A336957(k) is odd.

1, 4, 5, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 36, 37, 40, 41, 44, 45, 48, 49, 52, 53, 56, 57, 60, 61, 64, 65, 68, 69, 72, 73, 76, 77, 80, 81, 84, 85, 88, 89, 92, 93, 96, 97, 100, 101, 104, 105, 108, 109, 112, 113, 116, 117, 120, 121, 124, 125, 128, 129, 132, 133, 136, 137

Offset: 1

N. J. A. Sloane, Oct 18 2020

nonn

a(n) = A042948(n) for n<=1065, but then the two sequences start to differ. - R. J. Mathar, Nov 06 2020

N. J. A. Sloane, Table of n, a(n) for n = 1..20000

Cf. A336957, A338063-A338069.

M = 1000;
A[1] = 1; A[2] = 2;
Clear[B]; B[_] = 0;
For[n = 3, True, n++, For[k = 3, k <= M, k++, If[B[k] == 0 && GCD[k, A[n-1]] > 1 && GCD[k, A[n-2]] == 1, If[Length[FactorInteger[k][[All, 1]] ~Complement~ FactorInteger[A[n-1]][[All, 1]]] > 0, A[n] = k; B[k] = 1; Break[]]]]; If[k > M, Break[]]];
Reap[For[k = 1, k <= M, k++, If[OddQ[A[k]], Sow[k]]]][[2, 1]] (* Jean-François Alcover, Oct 23 2020, after Maple code in A336957 *)

A338063 Odd terms in A336957 in order of appearance.

Original entry on oeis.org

1, 15, 35, 33, 55, 21, 77, 45, 39, 63, 51, 57, 69, 65, 91, 85, 119, 75, 95, 87, 145, 99, 93, 117, 105, 261, 111, 153, 123, 115, 161, 155, 217, 129, 215, 141, 235, 147, 133, 135, 175, 143, 187, 301, 189, 209, 171, 253, 165, 329, 203, 195, 159, 177, 183, 279, 201, 185, 259, 247, 221, 205

Offset: 1

N. J. A. Sloane, Oct 18 2020

nonn

N. J. A. Sloane, Table of n, a(n) for n = 1..20000

Cf. A336957, A338062-A338069.

A338068 Numbers k such that A336957(k) is even and less than k.

Original entry on oeis.org

31, 35, 39, 63, 67, 71, 75, 79, 83, 87, 91, 95, 99, 119, 123, 146, 158, 187, 198, 215, 218, 223, 227, 231, 234, 239, 255, 279, 283, 307, 311, 315, 331, 335, 339, 343, 346, 347, 351, 354, 355, 359, 363, 367, 370, 371, 375, 378, 379, 383, 387, 390, 391, 395, 402, 403, 407, 411, 415, 418

Offset: 1

N. J. A. Sloane, Oct 19 2020

nonn

N. J. A. Sloane, Table of n, a(n) for n = 1..20000

Cf. A336957, A338062-A338069.

A338064 Numbers k such that the Enots Wolley sequence A336957(k) is even.

Original entry on oeis.org

2, 3, 6, 7, 10, 11, 14, 15, 18, 19, 22, 23, 26, 27, 30, 31, 34, 35, 38, 39, 42, 43, 46, 47, 50, 51, 54, 55, 58, 59, 62, 63, 66, 67, 70, 71, 74, 75, 78, 79, 82, 83, 86, 87, 90, 91, 94, 95, 98, 99, 102, 103, 106, 107, 110, 111, 114, 115, 118, 119, 122, 123, 126, 127, 130, 131, 134

Offset: 1

N. J. A. Sloane, Oct 18 2020

nonn

a(n) = A053438(n) for 1 <= n < 1065, but then the two sequences start to differ. - R. J. Mathar, Oct 26 2020

N. J. A. Sloane, Table of n, a(n) for n = 1..20000

Cf. A336957, A338062-A338069.

A338065 Even terms in A336957, divided by 2, in order of appearance.

Original entry on oeis.org

1, 3, 7, 6, 5, 9, 11, 10, 13, 14, 17, 19, 23, 20, 21, 15, 28, 12, 38, 18, 25, 22, 31, 26, 35, 29, 37, 34, 41, 40, 42, 30, 49, 24, 50, 27, 55, 33, 76, 36, 56, 39, 51, 43, 45, 44, 48, 46, 54, 47, 58, 52, 53, 59, 61, 62, 67, 65, 63, 57, 68, 60, 77, 66, 91, 70, 71, 73, 88, 74, 79, 80, 69, 82

Offset: 1

N. J. A. Sloane, Oct 18 2020

nonn

N. J. A. Sloane, Table of n, a(n) for n = 1..20001

Cf. A336957, A338062-A338069.

A338066 Numbers k such that A336957(k) is even and greater than k.

Original entry on oeis.org

3, 6, 7, 11, 14, 15, 18, 19, 22, 23, 26, 27, 30, 34, 38, 42, 43, 46, 47, 50, 51, 54, 55, 58, 59, 62, 66, 70, 74, 78, 82, 86, 94, 98, 102, 103, 107, 110, 111, 114, 115, 118, 122, 126, 127, 130, 131, 134, 135, 138, 139, 142, 143, 147, 151, 154, 155, 159, 163, 166, 167, 170, 171, 174, 175

Offset: 1

N. J. A. Sloane, Oct 18 2020

nonn

N. J. A. Sloane, Table of n, a(n) for n = 1..5563

Cf. A336957, A338062-A338069.

A338067 Even terms A336957(k) which are greater than k, divided by 2, in order of appearance.

Original entry on oeis.org

3, 7, 6, 9, 11, 10, 13, 14, 17, 19, 23, 20, 21, 28, 38, 25, 22, 31, 26, 35, 29, 37, 34, 41, 40, 42, 49, 50, 55, 76, 56, 51, 48, 54, 58, 52, 59, 61, 62, 67, 65, 63, 68, 77, 66, 91, 70, 71, 73, 88, 74, 79, 80, 82, 78, 99, 83, 86, 85, 84, 87, 95, 89, 166, 92, 133, 94, 97, 98, 118, 100

Offset: 1

N. J. A. Sloane, Oct 18 2020

nonn

N. J. A. Sloane, Table of n, a(n) for n = 1..5563

Cf. A336957, A338062-A338069.

cp's OEIS Frontend

A338062 Numbers k such that the Enots Wolley sequence A336957(k) is odd.

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A338063 Odd terms in A336957 in order of appearance.

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A338068 Numbers k such that A336957(k) is even and less than k.

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A338064 Numbers k such that the Enots Wolley sequence A336957(k) is even.

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A338065 Even terms in A336957, divided by 2, in order of appearance.

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A338066 Numbers k such that A336957(k) is even and greater than k.

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A338067 Even terms A336957(k) which are greater than k, divided by 2, in order of appearance.

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