Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A112701
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A112701 Partial sum of Catalan numbers A000108 multiplied by powers of 7. +0
1
1, 8, 106, 1821, 35435, 741329, 16270997, 369570944, 8613236374, 204812473608, 4949266755812, 121188396669810, 3000342229924222, 74979188061284522, 1888846103011564082, 47915719069874907917, 1222954711282739097587 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=sum(C(k)*7^k, k=0..n), n>=0, with C(n):=A000108(n).

G.f.: c(7*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.

CROSSREFS

Eighth column (m=7) of triangle A112705.

Sequence in context: A055406 A155632 A129278 this_sequence A099695 A000845 A027013

Adjacent sequences: A112698 A112699 A112700 this_sequence A112702 A112703 A112704

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


AT&T Labs Research