|
Search: id:A155734
|
|
| |
|
| 3, 1, 3, 9, 27, 81, 243, 729, 2187, 6561, 19683, 59049, 177147, 531441, 1594323, 4782969, 14348907, 43046721, 129140163, 387420489, 1162261467, 3486784401, 10460353203, 31381059609, 94143178827, 282429536481, 847288609443, 2541865828329
(list; graph; listen)
|
|
|
OFFSET
|
0,1
|
|
|
COMMENT
|
Binomial transform of the third differences of A001045.
The binomial transform of the first differences of A001045 is in A133494.
The binomial transform of the 2nd differences of A001045 is in A133494, with
the sign of A133494(0) flipped.
The binomial transform of the p-th differences of A001045 is the number A077925(p-1) followed by A000244.
|
|
MAPLE
|
read("transforms") ; A001045 := proc(n) option remember ; if n <= 1 then n; else procname(n-1)+2*procname(n-2) ; fi; end:
a001045 := [seq(A001045(n), n=0..80) ] ; a154879 := DIFF(DIFF(DIFF(a001045))) ; BINOMIAL(a154879) ; # R. J. Mathar, Jul 23 2009
|
|
CROSSREFS
|
Cf. A140429, A154879, A078008..
Sequence in context: A037095 A146436 A058842 this_sequence A128162 A067329 A025238
Adjacent sequences: A155731 A155732 A155733 this_sequence A155735 A155736 A155737
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Paul Curtz (bpcrtz(AT)free.fr), Jan 26 2009
|
|
EXTENSIONS
|
Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 23 2009
|
|
|
Search completed in 0.002 seconds
|
