A229198 Difference between integers nearest to (2^((n-3)/2) + 3^((n-3)/2)) (A229194) and Fibonacci numbers (A000045).

1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 8, 19, 42, 89, 183, 366, 718, 1385, 2636, 4961, 9249, 17105, 31416, 57356, 104170, 188331, 339119, 608464, 1088286, 1940994, 3453084, 6129207, 10857097, 19196490, 33884792, 59721438, 105113418, 184774518, 324436647, 569068543, 997205614, 1745923072, 3054338540, 5339361915, 9327547185, 16284517131, 28414038840, 49551994304, 86372825386, 150486363173

Offset

0,11

Comments

The following terms are Fibonacci numbers: a(9) = F(2), a(10)= F(4) , a(11) = F(6), a(14) = F(11); or the algebraic sum of two Fibonacci numbers: a(12) = F(8) - F(3), a(13) = F(10) - F(7), a(14) = F(12) - F(10); or the algebraic sum of three Fibonacci numbers: a(15) = F(12) + F(9) + F(5), a(16) = F(14) - F(6) - F(4), a(18) = F(16) + F(14) + F(8), a(19) = F(18) + F(10) - F(3).

Links

Vladimir Pletser, Table of n, a(n) for n = 0..1000

Formula

a(n) = A229194(n) - A000045(n)

Maple

with (combinat): seq(round(2^((n-3)/2)+3^((n-3)/2))-fibonacci(n), n=0..50);

Crossrefs

Cf. A000045, A229194.

Sequence in context: A074839 A262156 A002318 * A095681 A079583 A357291

Adjacent sequences: A229195 A229196 A229197 * A229199 A229200 A229201

Keyword

nonn

Author

Vladimir Pletser, Sep 15 2013

Status

approved