|
| |
|
|
A067412
|
|
Fourth column of triangle A067410.
|
|
6
| |
|
|
1, 5, 40, 320, 2560, 20480, 163840, 1310720, 10485760, 83886080, 671088640, 5368709120, 42949672960, 343597383680, 2748779069440, 21990232555520, 175921860444160, 1407374883553280, 11258999068426240
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,2
|
|
|
COMMENTS
| The fifth column gives [1,6,60,600,6000,60000,...].
a(n+1) = A157176(A016957(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 24 2009]
|
|
|
FORMULA
| a(n)= A067410(n+3, 3). a(n)= 5*8^(n-1), n>=1, a(0)=1.
G.f.: (1-3*x)/(1-8*x).
E.g.f.: (5*exp(8*x)+3)/8 = exp(4*x)*(cosh(4*x)+sinh(4*x)/4) - Paul Barry (pbarry(AT)wit.ie), Nov 20 2003
|
|
|
MATHEMATICA
| Join[{1}, NestList[8#&, 5, 20]] (* or *) CoefficientList[Series[ (1-3x)/ (1-8x), {x, 0, 20}], x] (* From Harvey P. Dale, May 14 2011 *)
|
|
|
CROSSREFS
| Cf. A067411 (third column), A067413 (sixth column), A001018 (powers of 8).
Sequence in context: A073505 A145841 A123943 * A078846 A027259 A007036
Adjacent sequences: A067409 A067410 A067411 * A067413 A067414 A067415
|
|
|
KEYWORD
| nonn,easy
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jan 25 2002
|
| |
|
|
