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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 (list; graph; refs; listen; history; text; internal format)
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. ( 1-2*x^2 ) / ( -1+x^2+x^3 ). - R. J. Mathar, Sep 11 2011

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

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Last modified November 21 13:53 EST 2017. Contains 295001 sequences.