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 A032441 a(n) = Sum_{i=0..2} binomial(Fibonacci(n),i). 1
 1, 2, 2, 4, 7, 16, 37, 92, 232, 596, 1541, 4006, 10441, 27262, 71254, 186356, 487579, 1276004, 3339821, 8742472, 22885996, 59912932, 156848617, 410626154, 1075018897, 2814412826, 7368190922, 19290113572, 50502074767, 132215989336, 346145696821, 906220783316 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (4,-2,-6,4,2,-1). FORMULA a(0)=1, a(1)=2, a(2)=2, a(3)=4, a(4)=7, a(5)=16, a(n)=4*a(n-1)- 2*a(n-2)- 6*a(n-3)+4*a(n-4)+2*a(n-5)-a(n-6). - Harvey P. Dale, Feb 02 2015 a(n) = A033192(n) + 1. - Alois P. Heinz, Jul 01 2018 MAPLE a:= n-> (f-> f*(f+1)/2+1)((<<0|1>, <1|1>>^n)[1, 2]): seq(a(n), n=0..35);  # Alois P. Heinz, Jul 01 2018 MATHEMATICA Table[Sum[Binomial[Fibonacci[n], i], {i, 0, 2}], {n, 0, 30}] (* or *) LinearRecurrence[ {4, -2, -6, 4, 2, -1}, {1, 2, 2, 4, 7, 16}, 30] (* Harvey P. Dale, Feb 02 2015 *) CROSSREFS Cf. A000045, A033192. Sequence in context: A153967 A052949 A014266 * A238184 A065844 A131199 Adjacent sequences:  A032438 A032439 A032440 * A032442 A032443 A032444 KEYWORD nonn AUTHOR STATUS approved

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Last modified October 15 00:14 EDT 2019. Contains 328025 sequences. (Running on oeis4.)