The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A218727 a(n) = (24^n-1)/23. 3
0, 1, 25, 601, 14425, 346201, 8308825, 199411801, 4785883225, 114861197401, 2756668737625, 66160049703001, 1587841192872025, 38108188628928601, 914596527094286425, 21950316650262874201, 526807599606308980825, 12643382390551415539801 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Partial sums of powers of 24 (A009968); q-integers for q=24: diagonal k=1 in triangle A022188.
Partial sums are in A014913 Also, the sequence is related to A014942 by A014942 n) = n*a(n)-sum(a(i), i=0..n-1) for n>0. [Bruno Berselli, Nov 07 2012]
LINKS
FORMULA
G.f.: x/((1-x)*(1-24*x)). - Vincenzo Librandi, Nov 07 2012
a(n) = floor(24^n/23). - Vincenzo Librandi, Nov 07 2012
a(n) = 25*a(n-1) - 24*a(n-2). - Vincenzo Librandi, Nov 07 2012
MATHEMATICA
LinearRecurrence[{25, -24}, {0, 1}, 30] (* Vincenzo Librandi, Nov 07 2012 *)
PROG
(PARI) A218727(n)=24^n\23
(Magma) [n le 2 select n-1 else 25*Self(n-1)-24*Self(n-2): n in [1..20]]; // Vincenzo Librandi, Nov 07 2012
(Maxima) A218727(n):=(24^n-1)/23$
makelist(A218727(n), n, 0, 30); /* Martin Ettl, Nov 07 2012 */
CROSSREFS
Sequence in context: A170706 A170744 A362473 * A264209 A307145 A061614
KEYWORD
nonn,easy
AUTHOR
M. F. Hasler, Nov 04 2012
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 2 03:32 EDT 2024. Contains 373032 sequences. (Running on oeis4.)