A153497 a(n) is the number whose binary expansion is A153498(n).

1, 7, 21, 73, 341, 1453, 5461, 21157, 87381, 354997, 1398101, 5548693, 22369621, 89828053, 357913941, 1428859477, 5726623061, 22928862037, 91625968981, 366324918613, 1466015503701, 5865493671253, 23456248059221, 93813538989397

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..500

Index entries for linear recurrences with constant coefficients, signature (5, -14, 50, -56, 80, -64).

Formula

From R. J. Mathar, Feb 20 2009: (Start)

a(n) = 5*a(n-1) - 14*a(n-2) + 50*a(n-3) - 56*a(n-4) + 80*a(n-5) - 64*a(n-6).

G.f.: x*(1 +2x +16x^3 -24x^4 +32x^5)/((1-x)*(1-4x)*(1+2x^2)*(1+8x^2)). (End)

Mathematica

LinearRecurrence[{5, -14, 50, -56, 80, -64}, {1, 7, 21, 73, 341, 1453}, 30] (* Harvey P. Dale, Nov 21 2012 *)

Crossrefs

Cf. A135576, A153498, A153499, A153500.

Sequence in context: A146533 A208534 A135576 * A146247 A241431 A147003

Adjacent sequences: A153494 A153495 A153496 * A153498 A153499 A153500

Keyword

easy,nonn

Author

Omar E. Pol, Dec 27 2008

Extensions

More terms from R. J. Mathar, Feb 20 2009

Status

approved