login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A024951
a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(2)=1 and a(3)=5.
1
1, 1, 5, 5, 5, 30, 55, 80, 230, 530, 1080, 2505, 5555, 15130, 34705, 80530, 197855, 511455, 1249430, 2966155, 7334380, 18923630, 46926130, 114708755, 287150005, 741017280, 1860971930, 4628582080, 11629943105, 30291303280, 76640090080, 192409197255
OFFSET
1,3
MATHEMATICA
a = {1, 1, 5}; n = 4; Do[ a = Append[a, Sum[a[[2 i - 1]]*a[[n - 2 i + 1]], {i, 1, Floor[(n + 2)/4]}]]; n++, 29]; a (* Jake L Lande, Jul 03 2024 *)
CROSSREFS
Sequence in context: A262122 A216876 A019162 * A092519 A198585 A224093
KEYWORD
nonn
EXTENSIONS
Offset corrected and title improved by Sean A. Irvine, Jul 30 2019
STATUS
approved