A228925 - OEIS

A228925

Stern's triatomic sequence.

1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 5, 1, 3, 5, 3, 1, 5, 1, 1, 5, 1, 3, 5, 3, 1, 5, 1, 1, 5, 1, 3, 5, 3, 1, 5, 1, 1, 7, 1, 5, 7, 5, 1, 7, 1, 3, 9, 3, 5, 9, 5, 1, 9, 3, 1, 9, 1, 5, 9, 5, 3, 9, 1, 1, 7, 1, 5, 7, 5, 1, 7, 1, 3, 9, 3, 5, 9, 5, 1, 9, 3, 1, 9, 1, 5, 9, 5, 3, 9, 1, 1, 7, 1, 5, 7, 5

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OFFSET

0,6

LINKS

Table of n, a(n) for n=0..99.

Thomas Garrity, "A Multidimensional Continued Fraction Generalization of Stern's Diatomic Sequence", J. Integer Sequence 13 (2013), Paper 13.7.7

FORMULA

Satisfies the recurrence relations

a(9n+3) = a(3n)

a(9n+4) = a(3n+1)

a(9n+5) = a(3n)+a(3n+1)+a(3n+2)

a(9n+6) = a(3n+1)