cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A349803 a(3*n) = 1 + 4*n^2, a(1+3*n) = 2 + 4*n*(n+1), a(2+3*n) = 5 + 4*n*(n+1).

Original entry on oeis.org

1, 2, 5, 5, 10, 13, 17, 26, 29, 37, 50, 53, 65, 82, 85, 101, 122, 125, 145, 170, 173, 197, 226, 229, 257, 290, 293, 325, 362, 365, 401, 442, 445, 485, 530, 533, 577, 626, 629, 677, 730, 733, 785, 842, 845, 901, 962
Offset: 0

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Author

Paul Curtz, Dec 01 2021

Keywords

Comments

A261327 sorted in nondecreasing order.

Links

Crossrefs

Cf. A261327.
Trisections: A053755, A069894, A078370.
Cf. A004396, A004523, A099838.

Programs

  • Mathematica
    nterms=100;LinearRecurrence[{1,0,2,-2,0,-1,1},{1,2,5,5,10,13,17},nterms] (* Paolo Xausa, Dec 01 2021 *)

Formula

a(-n) = a(n) - A099838(n+2).
a(n) = a(n-3) + 4*A004523(n-1) for n >= 3
= a(n-6) + 8*A004396(n-3) for n >= 6
= a(n-9) + 12*A004523(n-4) for n >= 9
= a(n-12) + 16*A004396(n-6) for n >= 12
...
Previous Showing 11-11 of 11 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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