|
Search: id:A101892
|
|
|
| A101892 |
|
Sum C(n,2k)J(k), k=0..floor(n/2). |
|
+0
1
|
|
| 0, 0, 1, 3, 7, 15, 33, 77, 187, 459, 1121, 2717, 6555, 15795, 38081, 91893, 221867, 535755, 1293633, 3123277, 7540187, 18203139, 43945441, 106092997, 256131435, 618357915, 1492851361, 3604064733, 8700980827, 21006018195, 50713000833
(list; graph; listen)
|
|
|
OFFSET
|
0,4
|
|
|
COMMENT
|
Transform of A001045 under the mapping g(x)-> (1/(1-x))g(x^2/((1-x)^2). Binomial transform of aerated Jacobsthal numbers 0,0,1,0,1,0,3,0,5,0,11,...
J(n) may be recovered as sum{k=0..2n, sum{j=0..k,C(0,2n-k)C(k,j)(-1)^(k-j)*A101892(j)}}. - Paul Barry (pbarry(AT)wit.ie), Jun 10 2005
|
|
FORMULA
|
G.f.: x^2(1-x)/(1-4x+5x^2-2x^3-2x^4); a(n)=4a(n-1)-5a(n-2)+2a(n-3)+2a(n-4); a(n)=sum{k=0..n, binomial(n, k)(A001045(k/2)(1+(-1)^k)/2}.
(1/6) [ 2*A001333(n) - A009545(n+2) ]. - Ralf Stephan, May 17 2007
|
|
CROSSREFS
|
Sequence in context: A026701 A140498 A136029 this_sequence A147102 A147379 A077946
Adjacent sequences: A101889 A101890 A101891 this_sequence A101893 A101894 A101895
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Dec 22 2004
|
|
|
Search completed in 0.002 seconds
|
