A072710 Last digit of F(n) is 8 where F(n) is the n-th Fibonacci number.

6, 24, 27, 33, 66, 84, 87, 93, 126, 144, 147, 153, 186, 204, 207, 213, 246, 264, 267, 273, 306, 324, 327, 333, 366, 384, 387, 393, 426, 444, 447, 453, 486, 504, 507, 513, 546, 564, 567, 573, 606, 624, 627, 633, 666, 684, 687, 693, 726, 744, 747, 753, 786

Offset

1,1

Comments

Sequence contains numbers of form (6+60k), (24+60k), (27+60k), (33+60k), with k>=0.

Links

Colin Barker, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1).

Formula

G.f.: x*(27*x^4+6*x^3+3*x^2+18*x+6) / (x^5-x^4-x+1). - Colin Barker, Jun 16 2013

a(n) = (-60 - 6*(-1)^n - (21-9*i)*(-i)^n - (21+9*i)*i^n + 60*n) / 4 where i=sqrt(-1). - Colin Barker, Oct 16 2015

Prog

(PARI) a(n) = (-60 - 6*(-1)^n - (21-9*I)*(-I)^n - (21+9*I)*I^n + 60*n) / 4 \\ Colin Barker, Oct 16 2015
(PARI) Vec(x*(27*x^4+6*x^3+3*x^2+18*x+6)/(x^5-x^4-x+1) + O(x^100)) \\ Colin Barker, Oct 16 2015

Crossrefs

Cf. A000045, A003893.

Sequence in context: A237836 A231324 A274557 * A349688 A273124 A349686

Adjacent sequences: A072707 A072708 A072709 * A072711 A072712 A072713

Keyword

nonn,base,easy

Author

Benoit Cloitre, Aug 07 2002

Status

approved