|
Search: id:A145976
|
|
|
| A145976 |
|
Expansion of 1/(1-x(1-7x)). |
|
+0
7
|
|
| 1, 1, -6, -13, 29, 120, -83, -923, -342, 6119, 8513, -34320, -93911, 146329, 803706, -220597, -5846539, -4302360, 36623413, 66739933, -189623958, -6566883489, 670564217, 5268188640, 574239121, -36303081359, -40322755206, 213798814307
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
Row sums of Riordan array (1,x(1-7x)).
|
|
FORMULA
|
a(n)=a(n-1)-7*a(n-2); a(0)=1, a(1)=1. a(n)=Sum_{k, 0<=k<=n}A109466(n,k)*7^(n-k).
a(n)=-(1/18)*I*sqrt(3)*[(1/2)+(3/2)*I*sqrt(3)]^n+(1/18)*I*sqrt(3)*[(1/2)-(3/2)*I *sqrt(3)]^n+(1/2)*[(1/2)-(3/2)*I*sqrt(3)]^n+(1/2)*[(1/2)+(3/2)*I*sqrt(3)]^n, with n>=0 and I=sqrt(-1) [From Paolo P. Lava (ppl(AT)spl.at), Nov 18 2008]
|
|
PROGRAM
|
(Other) sage: [lucas_number1(n, 1, 7) for n in xrange(1, 29)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009]
|
|
CROSSREFS
|
Cf. A010892, A107920, A106852, A106853, A106854, A145934
Sequence in context: A016071 A086652 A159694 this_sequence A101622 A147330 A042607
Adjacent sequences: A145973 A145974 A145975 this_sequence A145977 A145978 A145979
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 26 2008
|
|
EXTENSIONS
|
Corrected by Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 22 2009
|
|
|
Search completed in 0.002 seconds
|
