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A140514 a(n) = Padovan(n+4) - ThueMorse(n). 1
0, 0, 0, 1, 1, 2, 3, 3, 4, 7, 9, 11, 16, 20, 27, 37, 48, 65, 86, 113, 151, 199, 264, 351, 465, 615, 815, 1081, 1431, 1897, 2513, 3328, 4409, 5842, 7739, 10251, 13581, 17990, 23832, 31572, 41824, 55404, 73395, 97229, 128800, 170625, 226030, 299425, 396655 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

COMMENTS

Limit_{n->infinity} a(n+1)/a(n) = A060006.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..5000

E. W. Weisstein, Thue-Morse sequence, Mathworld.

Anonmyous, Thue Morse Mathematica notebook, Mathworld.

FORMULA

a(n) = A000931(n+4) - A010060(n).

MATHEMATICA

(*A000931*) a[0] = 0; a[1] = 1; a[2] = 1; a[n_] := a[n] = a[n - 2] + a[n - 3]; (*A010060*) b = ThueMorse[7, 0][[7]]; c = Table[a[n], {n, 0, Length[b] - 1}]; d = c - b

A000931 := LinearRecurrence[{0, 1, 1}, {1, 0, 0}, 500]; Table[A000931[[n + 5]] - ThueMorse[n], {n, 0, 100}] (* G. C. Greubel, Jan 14 2018 *)

CROSSREFS

Cf. A000931, A010060.

Sequence in context: A249579 A329301 A327134 * A240209 A047079 A207624

Adjacent sequences:  A140511 A140512 A140513 * A140515 A140516 A140517

KEYWORD

nonn

AUTHOR

Roger L. Bagula and Gary W. Adamson, Jul 01 2008

EXTENSIONS

Definition simplified, indices clarified, references converted to links, Nov 16 2010

STATUS

approved

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Last modified July 9 14:56 EDT 2020. Contains 335543 sequences. (Running on oeis4.)