A137495 - OEIS

A137495

a(n) = A098601(2n) + A098601(2n+1).

2, 3, 4, 7, 13, 23, 40, 70, 123, 216, 379, 665, 1167, 2048, 3594, 6307, 11068, 19423, 34085, 59815, 104968, 184206, 323259, 567280, 995507, 1746993, 3065759, 5380032, 9441298, 16568323, 29075380, 51023735, 89540413, 157132471, 275748264, 483904470, 849193147, 1490230088

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..37.

Nicolas Ollinger and Jeffrey Shallit, The Repetition Threshold for Rote Sequences, arXiv:2406.17867 [math.CO], 2024.

Index entries for linear recurrences with constant coefficients, signature (2,-1,1)

FORMULA

a(3n) = A135364(2n+1). a(3n+1) = A137584(2n+1). a(3n+2) = A137531(2n+2).

From R. J. Mathar, Jul 06 2011: (Start)

G.f.: ( -2+x ) / ( -1+2*x-x^2+x^3 ).

a(n) = 2*A005314(n+1) - A005314(n). (End)