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A218749 a(n) = (46^n-1)/45. 3
0, 1, 47, 2163, 99499, 4576955, 210539931, 9684836827, 445502494043, 20493114725979, 942683277395035, 43363430760171611, 1994717814967894107, 91757019488523128923, 4220822896472063930459, 194157853237714940801115 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Partial sums of powers of 46 (A009990).
LINKS
FORMULA
G.f.: x/((1-x)*(1-46*x)). - Vincenzo Librandi, Nov 08 2012
a(n) = 47*a(n-1) - 46*a(n-2) with a(0)=0, a(1)=1. - Vincenzo Librandi, Nov 08 2012
a(n) = 46*a(n-1) + 1 with a(0)=0. - Vincenzo Librandi, Nov 08 2012
a(n) = floor(46^n/45). - Vincenzo Librandi, Nov 08 2012
MATHEMATICA
LinearRecurrence[{47, -46}, {0, 1}, 30] (* Vincenzo Librandi, Nov 08 2012 *)
(46^Range[0, 20]-1)/45 (* Harvey P. Dale, Aug 17 2017 *)
PROG
(PARI) A218749(n)=46^n\45
(Maxima) A218749(n):=(46^n-1)/45$ makelist(A218749(n), n, 0, 30); /* Martin Ettl, Nov 07 2012 */
(Magma) [n le 2 select n-1 else 47*Self(n-1) - 46*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 08 2012
CROSSREFS
Sequence in context: A170680 A170728 A170766 * A049668 A009991 A374306
KEYWORD
nonn,easy
AUTHOR
M. F. Hasler, Nov 04 2012
STATUS
approved

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Last modified August 16 21:21 EDT 2024. Contains 375191 sequences. (Running on oeis4.)