A278353 -id:A278353 - cp's OEIS frontend

A275158 Numbers n such that A003144(n) = floor(alpha*n) + 1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.

12737, 13241, 15873, 16377, 32250, 32754, 48627, 49131, 68140, 78749, 79253, 81885, 82389, 84517, 85021, 98262, 98766, 101398, 101902, 114639, 115143, 117775, 118279, 134152, 134656, 153665, 154169, 170042, 170546, 200164, 200668, 203300, 203804, 219677, 220181, 222813, 236054, 236558, 239190

Offset: 1

Jeffrey Shallit, Nov 19 2016

nonn

Also positions of -1's in A275926. - N. J. A. Sloane, Mar 16 2019

F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, Queens in exile: non-attacking queens on infinite chess boards, Electronic J. Combin., 27:1 (2020), #P1.52.
Jeffrey Shallit, Tribonacci Facts, Nov 03 2017

Cf. A003144, A275926, A278352, A278353.

A277721 a(n) = floor(n*t^3) - A003146(n), where t = 1.8392867... is the tribonacci constant A058265.

Original entry on oeis.org

2, 1, 1, 0, 3, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 3, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 3, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 1, 1, 3, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 3, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 3, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 3, 2

Offset: 1

N. J. A. Sloane, Oct 28 2016

sign

Always in the set {-1,0,1,2,3}, but first occurrence of -1 is at n = 2047. - Jeffrey Shallit, Nov 19 2016

N. J. A. Sloane, Table of n, a(n) for n = 1..10000

Cf. A003144, A003145, A003146, A275926, A276799, A058265, A276800, A276801, A278353 (positions of -1's).

A278352 Numbers n such that A003145(n) = floor(alpha^2*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.

Original entry on oeis.org

329, 342, 423, 846, 1269, 2034, 2047, 2115, 2128, 2538, 2551, 2632, 2961, 2974, 3055, 3478, 5170, 5183, 5264, 5687, 6110, 7802, 7815, 7883, 7896, 8306, 8319, 8400, 8729, 8742, 8823, 9246, 10938, 10951, 11032, 11455, 11878, 12643, 12656, 12724, 12737, 13147, 13160, 13241, 13570, 13583, 13664, 14087, 14591

Offset: 1

Jeffrey Shallit, Nov 19 2016

nonn

F. Michel Dekking, Jeffrey Shallit, and N. J. A. Sloane, Queens in exile: non-attacking queens on infinite chess boards, Electronic J. Combin., 27:1 (2020), #P1.52.
Jeffrey Shallit, Tribonacci Facts, Nov 03 2017

Cf. A003145, A058265 (decimal expansion of alpha), A275158, A278353.

cp's OEIS Frontend

A275158 Numbers n such that A003144(n) = floor(alpha*n) + 1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.

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A277721 a(n) = floor(n*t^3) - A003146(n), where t = 1.8392867... is the tribonacci constant A058265.

Views

Author

Keywords

Comments

Links

Crossrefs

A278352 Numbers n such that A003145(n) = floor(alpha^2*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.

Views

Author

Keywords

Links

Crossrefs