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1, 3, 8, 37, 192, 899, 3880, 16041, 65024, 261415, 1047576, 4192973, 16775488, 67106667, 268432712, 1073738449, 4294963200, 17179864271, 68719470904, 274877900085, 1099511619776, 4398046501843, 17592186033768, 70368744165497, 281474976696832
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..500
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FORMULA
| G.f.:(-1-5*x^4-11*x^3-6*x^2+5*x)/((4*x-1)*(x-1)^4) [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 13 2009]
a(0)=1, a(1)=3, a(2)=8, a(3)=37, a(4)=192, a(n)=8*a(n-1)- 22*a(n-2)+ 28*a(n-3)-17*a(n-4)+4*a(n-5) [From Harvey P. Dale, Jul 26 2011]
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MATHEMATICA
| Table[4^n-n^3, {n, 0, 30}] (* or *) LinearRecurrence[{8, -22, 28, -17, 4}, {1, 3, 8, 37, 192}, 31] (* From Harvey P. Dale, Jul 26 2011 *)
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PROG
| (MAGMA) [4^n-n^3: n in [0..30]]; // Vincenzo Librandi, Jul 02 2011
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CROSSREFS
| Sequence in context: A020111 A111543 A188327 * A147523 A123981 A123985
Adjacent sequences: A024036 A024037 A024038 * A024040 A024041 A024042
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Harvey P. Dale, Jul 26 2011
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