|
Search: id:A084174
|
|
|
| A084174 |
|
Generalized Jacobsthal numbers. |
|
+0
5
|
|
| 1, 1, 3, 6, 14, 29, 61, 124, 252, 507, 1019, 2042, 4090, 8185, 16377, 32760, 65528, 131063, 262135, 524278, 1048566, 2097141, 4194293, 8388596, 16777204, 33554419, 67108851, 134217714, 268435442, 536870897, 1073741809, 2147483632
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
A084172(n)-A084174(n)=A001045(n).
|
|
FORMULA
|
a(n+2)=a(n+1)+2a(n)+n, a(0)=1, a(1)=1; a(n)=2^n+(-1)^n/4-(2n+1)/4.
a(n)=floor(2^n-n(n+1)/2),n>=0 . - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2007
Row sums of triangle A131087. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 14 2007
|
|
MAPLE
|
seq(floor(2^n-n(n+1)/2), n=0..31); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 29 2007
|
|
CROSSREFS
|
Cf. A131087.
Sequence in context: A055890 A038359 A038360 this_sequence A036658 A077067 A083797
Adjacent sequences: A084171 A084172 A084173 this_sequence A084175 A084176 A084177
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), May 18 2003
|
|
|
Search completed in 0.002 seconds
|
