A023499 a(n) = b(n) + d(n), where b(n) = ( (n+1)st Fibonacci number) and d(n) = (n-th number that is 1, 2, or 3, or is not a Lucas number).

2, 4, 6, 10, 14, 21, 30, 44, 67, 102, 158, 248, 393, 627, 1006, 1617, 2605, 4203, 6788, 10970, 17736, 28683, 46395, 75053, 121423, 196449, 317843, 514262, 832074, 1346304, 2178345, 3524615, 5702925, 9227504, 14930392, 24157858

Offset

0,1

Links

Table of n, a(n) for n=0..35.

Mathematica

Module[{nn=50, nlu, fib=Fibonacci[Range[2, nn+1]], len}, nlu=Join[{1, 2, 3}, Complement[ Range[4, nn], LucasL[Range[nn]]]]; len=Min[nn, Length[nlu]]; Total/@Thread[{Take[fib, len], Take[nlu, len]}]] (* Harvey P. Dale, Mar 14 2013 *)

Crossrefs

Sequence in context: A136460 A000065 A237758 * A103445 A001747 A048670

Adjacent sequences: A023496 A023497 A023498 * A023500 A023501 A023502

Keyword

nonn

Author

Clark Kimberling

Status

approved