

A171950


a(1)=1. a(n) = the absolute difference between (the sum of previous terms) and A000217(n2), n>1.


2



1, 1, 1, 0, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68
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OFFSET

1,5


LINKS

Table of n, a(n) for n=1..70.
Index entries for linear recurrences with constant coefficients, signature (2,1).


FORMULA

a(n) = Sum_{i=1..n1} a(i)  A000217(n2), n>1.
a(n) = n2, n>=5.  R. J. Mathar, Oct 26 2010


MATHEMATICA

LinearRecurrence[{2, 1}, {1, 1, 1, 0, 3, 4}, 70] (* Harvey P. Dale, Dec 10 2015;; a(1)=1 amended by Georg Fischer, Apr 03 2019 *)


PROG

(PARI) a(n)=if(n>4, n2, n<4) \\ Charles R Greathouse IV, Oct 27 2011
(MAGMA) [1, 1, 1, 0] cat [n2: n in [5..70]]; // G. C. Greubel, Apr 03 2019
(Sage) [1, 1, 1, 0]+[n2 for n in (5..70)] # G. C. Greubel, Apr 03 2019


CROSSREFS

Cf. A000217, A065475.
Sequence in context: A004721 A030544 A141213 * A184985 A114637 A009056
Adjacent sequences: A171947 A171948 A171949 * A171951 A171952 A171953


KEYWORD

easy,nonn,less


AUTHOR

Giovanni Teofilatto, Oct 20 2010


EXTENSIONS

Zero inserted, precise indices added in definition, keyword:less and two formulas added  R. J. Mathar, Oct 26 2010
A171950 and A181440 are two different edited versions of a sequence submitted by Giovanni Teofilatto.  N. J. A. Sloane, Oct 29 2010


STATUS

approved



