A087100 A000225 (2^n - 1) interlaced with A008593 (11n).

0, 1, 11, 3, 22, 7, 33, 15, 44, 31, 55, 63, 66, 127, 77, 255, 88, 511, 99, 1023, 110, 2047, 121, 4095, 132, 8191, 143, 16383, 154, 32767, 165, 65535, 176, 131071, 187, 262143, 198, 524287, 209, 1048575, 220, 2097151, 231, 4194303, 242, 8388607, 253

Offset: 0

Author

Jeremy Gardiner, Aug 10 2003

Keywords

• easy
• nonn

Links

• Index entries for linear recurrences with constant coefficients, signature (0,4,0,-5,0,2).

Crossrefs

Cf. A063914, A087098, A086848.

Programs

Mathematica

Rest[With[{nn=30},Riffle[2^Range[0,nn]-1,11Range[0,nn]]]] (* Harvey P. Dale, Aug 15 2011 *)

Formula

From Chai Wah Wu, Feb 02 2021: (Start)

a(n) = 4*a(n-2) - 5*a(n-4) + 2*a(n-6) for n > 5.

G.f.: x*(22*x^3 + x^2 - 11*x - 1)/((x - 1)^2*(x + 1)^2*(2*x^2 - 1)). (End)