A046231 -id:A046231 - cp's OEIS frontend

A103462 A triangle with palindromic cubes, read by rows.

1, 1, 1, 1, 2, 1, 1, 2, 3, 1, 1, 2, 5, 4, 1, 1, 2, 9, 10, 5, 1, 1, 2, 17, 28, 17, 6, 1, 1, 2, 33, 82, 65, 26, 7, 1, 1, 2, 65, 244, 257, 126, 37, 8, 1, 1, 2, 129, 730, 1025, 626, 217, 50, 9, 1, 1, 2, 257, 2188, 4097, 3126, 1297, 344, 65, 10, 1, 1, 2, 513, 6562, 16385, 15626, 7777

Offset: 0

Paul Barry, Feb 07 2005

			Rows start {1}, {1,1}, {1,2,1}, {1,2,3,1}, {1,2,5,4,1},..

P. De Geest, World!Of Numbers

Columns include A040000, A083318, A103457, A046231, A046233, A103458, A103459, A000533. Cubes of column k are palindromic to base k, k>3 (start with column 0). Row sums are A103480. Diagonal sums are A103481.

Number triangle T(n, k)=if(k<=n, k^(n-k)+1-0^(n-k), 0); Column k has g.f. x^k(1-kx^2)/((1-x)(1-kx)).

A046232 Cubes which are palindromes in base 4.

Original entry on oeis.org

0, 1, 125, 4913, 274625, 16974593, 1076890625, 68769820673, 4398851866625, 281487861809153, 18014604668698625, 1152924803144876033, 73787029071408922625, 4722367327294625677313, 302231468414456377114625, 19342813330006849714388993, 1237940042744144791940890625, 79228162569604569827557507073

Offset: 1

Patrick De Geest, May 15 1998

Patrick De Geest, World!Of Numbers, Palindromic cubes in bases 2 to 17.

Cf. A020531, A046231.

It seems that a(n+2) = 64^n + 3*16^n + 3*4^n + 1 for n > 0.

Conjectured g.f.: x^2*(1 + 40*x - 4284*x^2 + 30080*x^3 - 28672*x^4)/((1 - x)*(1 - 4*x)*(1 - 16*x)*(1 - 64*x)). - Stefano Spezia, Jul 31 2022

Offset changed to 1 by Stefano Spezia, Jul 31 2022

More terms using A046231 added by Michel Marcus, Aug 02 2022

cp's OEIS Frontend

A103462 A triangle with palindromic cubes, read by rows.

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