0,1

A floretion-generated sequence relating to NSW numbers and numbers n such that (n^2 - 8)/2 is a square. It is also possible to label this sequence as the "tesfor-transform of the zero-sequence" under the floretion given in the program code, below. This is because the sequence "vesseq" would normally have been A046184 (indices of octagonal numbers which are also a square) using the floretion given. This floretion, however, was purposely "altered" in such a way that the sequence "vesseq" would turn into A000004. As (a(n)) would not have occurred under "natural" circumstances, one could speak of it as the transform of A000004.

M. Newman, D. Shanks and H. C. Williams, Simple groups of square order and an interesting sequence of primes, Acta Arith. 38 (1980/81), no. 2, 129-140. MR82b:20022

Problem 47, Amer. Math. Monthly, 4 (1897), 25-28. MR82b:20022

Tanya Khovanova, Recursive Sequences

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

a(n) = A002315(n) + A077445(n+1). Note: the offset of A077445 is 1. a(n+1) - a(n) = 2*A054490(n+1)

a(n)=6*a(n-1)-a(n-2), a(0)=5, a(1)=27. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 17 2008]

CoefficientList[ Series[(5 - 3x)/(x^2 - 6x + 1), {x, 0, 20}], x] (from Robert G. Wilson v Jan 29 2005)

Floretion Algebra Multiplication Program FAMP code: - tesforseq[ + 3'i - 2'j + 'k + 3i' - 2j' + k' - 4'ii' - 3'jj' + 4'kk' - 'ij' - 'ji' + 3'jk' + 3'kj' + 4e], Note: vesforseq = A000004, lesforseq = A002315, jesforseq = A077445

Cf. A000004, A002315, A077445, A054490.

Sequence in context: A083880 A098409 A052227 this_sequence A084076 A081924 A062512

Adjacent sequences: A101383 A101384 A101385 this_sequence A101387 A101388 A101389

nonn,new

Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jan 23 2005

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jan 29 2005