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”).

A134418
Row sums of triangle A134417.
3
1, 5, 14, 48, 152, 496, 1600, 5184, 16768, 54272, 175616, 568320, 1839104, 5951488
OFFSET
1,2
FORMULA
Row sums of triangle A134417. Binomial transform of A133632. Inverse binomial transform of A048875.
Inverse binomial transform of A048875: (l, 6, 25, 106, 449, ...). - Gary W. Adamson, Nov 23 2007
G.f.: (1+3*x)/(1-2*x-4*x^2). - Vladimir Kruchinin, May 06 2011
EXAMPLE
a(4) = 48 = sum of row 4 terms of triangle A134417: (1 + 12 + 15 + 20).
a(4) = 48 = (1, 3, 3, 1) dot (1, 4, 5, 20), given A133632 = (1, 4, 5, 20, 25, 100, ...).
a(3) = 14 = (1, -2, 1) dot (1, 6, 25), = (1, -12, 25), where A048875 = (1, 6, 25, 106, 449, 1902, ...).
CROSSREFS
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Oct 24 2007
STATUS
approved