A164095 a(n) = 2*a(n-2) for n > 2; a(1) = 5, a(2) = 6.

5, 6, 10, 12, 20, 24, 40, 48, 80, 96, 160, 192, 320, 384, 640, 768, 1280, 1536, 2560, 3072, 5120, 6144, 10240, 12288, 20480, 24576, 40960, 49152, 81920, 98304, 163840, 196608, 327680, 393216, 655360, 786432, 1310720, 1572864, 2621440, 3145728

Offset

1,1

Comments

Interleaving of A020714 and A007283 without initial term 3.

Partial sums are in A164096.

Binomial transform is A048655 without initial 1, second binomial transform is A161941 without initial 2, third binomial transform is A164037, fourth binomial transform is A161731 without initial 1, fifth binomial transform is A164038, sixth binomial transform is A164110.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (0, 2).

Formula

a(n) = A070876(n)/3.

a(n) = (4-(-1)^n)*2^(1/4*(2*n-1+(-1)^n)).

G.f.: x*(5+6*x)/(1-2*x^2).

Mathematica

LinearRecurrence[{0, 2}, {5, 6}, 50] (* or *) With[{nn=20}, Riffle[NestList[ 2#&, 5, nn], NestList[2#&, 6, nn]]] (* Harvey P. Dale, Aug 15 2020 *)

Prog

(Magma) [ n le 2 select n+4 else 2*Self(n-2): n in [1..40] ];

Crossrefs

Cf. A020714 (5*2^n), A007283 (3*2^n), A164096, A048655, A161941, A164037, A161731, A164038, A164110, A070876.

Sequence in context: A353280 A093509 A105953 * A102506 A062845 A236307

Adjacent sequences: A164092 A164093 A164094 * A164096 A164097 A164098

Keyword

nonn

Author

Klaus Brockhaus, Aug 10 2009

Status

approved