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 A002466 A jumping problem. (Formerly M1066 N0402) 1
 1, 1, 2, 4, 7, 13, 17, 30, 60, 107, 197, 257, 454, 908, 1619, 2981, 3889, 6870, 13740, 24499, 45109, 58849, 103958, 207916, 370723, 682597, 890513, 1573110, 3146220, 5609843, 10329173, 13475393, 23804566, 47609132, 84889091, 156302789 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES A. P. Domoryad, Mathematical Games and Pastimes. Macmillan, NY, 1964, p. 259. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Paolo Xausa, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,15,0,0,0,0,2). FORMULA a(1) = a(2) = 1, a(3) = 2, a(5*k+2) = a(5*k+1) + a(5*k-1), a(5*k+3) = a(5*k+2) + a(5*k+1), a(5*k+b) = a(5*k+b-1) + a(5*k+b-2) + a(5*k+b-3) for b=-1,0,1 [From Domoryad]. - Sean A. Irvine, Apr 21 2016 From Chai Wah Wu, Dec 20 2019: (Start) a(n) = 15*a(n-5) + 2*a(n-10) for n > 10. G.f.: x*(-2*x^9 - 2*x^6 + 2*x^5 - 7*x^4 - 4*x^3 - 2*x^2 - x - 1)/(2*x^10 + 15*x^5 - 1). (End) MATHEMATICA A002466list[nmax_]:=LinearRecurrence[{0, 0, 0, 0, 15, 0, 0, 0, 0, 2}, {1, 1, 2, 4, 7, 13, 17, 30, 60, 107}, nmax]; A002466list[50] (* Paolo Xausa, Jun 26 2023 *) CROSSREFS Sequence in context: A002152 A163522 A255173 * A162842 A164901 A262744 Adjacent sequences: A002463 A002464 A002465 * A002467 A002468 A002469 KEYWORD nonn,easy AUTHOR N. J. A. Sloane EXTENSIONS More terms from Sean A. Irvine, Apr 21 2016 STATUS approved

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Last modified December 6 15:29 EST 2023. Contains 367610 sequences. (Running on oeis4.)