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a(n) = Bell(n) + Fibonacci(n).
1, 2, 3, 7, 18, 57, 211, 890, 4161, 21181, 116030, 678659, 4213741, 27644670, 190899699, 1382959155, 10480143134, 82864871401, 682076808743, 5832742209238, 51724158242137, 474869816167697, 4506715738465034, 44152005855113003, 445958869294851657, 4638590332230074378
with(combinat): seq(bell(x)+fibonacci(x), x=0..30);
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(Sage) [bell_number(m) + fibonacci(m) for m in xrange range(0, 23)] # Zerinvary Lajos, Jul 06 2008
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_Jorge Coveiro (jorgecoveiro(AT)yahoo.com), _, Dec 30 2004
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Table[Fibonacci[n]+BellB[n], {n, 0, 30}] _(* _Harvey P. Dale_, May 20 2012 *)
sage: (Sage) [bell_number(m)+fibonacci(m) for m in xrange (0, 23)] - _# _Zerinvary Lajos_, Jul 06 2008
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sage: [bell_number(m)+fibonacci(m) for m in xrange (0, 23)] - _Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), _, Jul 06 2008
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Harvey P. Dale, <a href="/A100388/b100388.txt">Table of n, a(n) for n = 0..500</a>
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