

A133034


First differences of Padovan sequence A000931.


10



1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200, 265, 351, 465, 616, 816, 1081, 1432, 1897, 2513, 3329, 4410, 5842, 7739, 10252, 13581, 17991, 23833, 31572, 41824, 55405, 73396
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OFFSET

0,13


LINKS

Table of n, a(n) for n=0..50.
Index entries for linear recurrences with constant coefficients, signature (0, 1, 1).


FORMULA

a(n+4) = A000931(n).
G.f.: ( 12*x^2 ) / ( 1+x^2+x^3 ).  R. J. Mathar, Sep 11 2011
a(n) = a(n2) + a(n3) with a(0) = 1, a(1) = 0, a(2) = 1.  Taras Goy, Mar 24 2019


MATHEMATICA

LinearRecurrence[{0, 1, 1}, {1, 0, 1}, 60] (* Harvey P. Dale, Dec 14 2013 *)


CROSSREFS

The following are basically all variants of the same sequence: A000931, A078027, A096231, A124745, A133034, A134816, A164001, A182097, A228361 and probably A020720. However, each one has its own special features and deserves its own entry.
Cf. A002026.
Sequence in context: A018052 A018124 A124745 * A000931 A078027 A134816
Adjacent sequences: A133031 A133032 A133033 * A133035 A133036 A133037


KEYWORD

easy,sign


AUTHOR

Omar E. Pol, Nov 05 2007


STATUS

approved



