A278352 -id:A278352 - cp's OEIS frontend

A276799 a(n) = floor(n*t^2) - A003145(n), where t = 1.8392867... is the tribonacci constant A058265.

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

Offset: 1

N. J. A. Sloane, Oct 28 2016

sign

a(n) is in {-1, 0, 1, 2}, but the first n for which -1 appears is n = 329. - Jeffrey Shallit, Nov 19 2016

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

Cf. A003144, A003145, A003146, A275926, A058265, A276800, A277721, A278352 (positions of -1's).

a(n) = A277722(n) - A003145(n). - R. J. Mathar, Nov 02 2016

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.

Original entry on oeis.org

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.

A278353 Numbers n such that A003146(n) = floor(alpha^3*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.

Original entry on oeis.org

2047, 2128, 2551, 2632, 5183, 5264, 7815, 7896, 10951, 12656, 12737, 13160, 13241, 13583, 13664, 15792, 15873, 16296, 16377, 18424, 18505, 18928, 19009, 21560, 21641, 24696, 24777, 27328, 27409, 32169, 32250, 32673, 32754, 35305, 35386, 35809, 37937, 38018, 38441, 38522, 41073, 41154, 43705, 43786

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. A003146, A058265, A275158, A278352.

cp's OEIS Frontend

A276799 a(n) = floor(n*t^2) - A003145(n), where t = 1.8392867... is the tribonacci constant A058265.

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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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A278353 Numbers n such that A003146(n) = floor(alpha^3*n)+1, where alpha = 1.839... is the positive real zero of x^3-x^2-x-1.

Views

Author

Keywords

Links

Crossrefs