|
Search: id:A132045
|
|
| |
|
| 1, 2, 3, 6, 13, 28, 59, 122, 249, 504, 1015, 2038, 4085, 8180, 16371, 32754, 65521, 131056, 262127, 524270, 1048557, 2097132, 4194283, 8388586, 16777193, 33554408, 67108839, 134217702, 268435429, 536870884, 1073741795, 2147483618, 4294967265, 8589934560
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
FORMULA
|
Binomial transform of (1, 1, 0, 2, 0, 2, 0, 2, 0, 2,...).
For n>=1, a(n) = 2^n - n + 1 = A000325(n) + 1 - Avik Roy (avik_3.1416(AT)yahoo.co.in), Jan 17 2009. (Corrected by Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Jan 17 2009)
|
|
EXAMPLE
|
a(4) = 13 = sum of row 4 terms of triangle A132044: (1 + 3 + 5 + 3 + 1).
a(4) = 13 = (1, 4, 6, 4, 1) dot (1, 1, 0, 2, 0) = (1 + 4 + 0 + 8 + 0).
|
|
CROSSREFS
|
Cf. A132044.
Sequence in context: A030038 A030040 A075853 this_sequence A032143 A032160 A089735
Adjacent sequences: A132042 A132043 A132044 this_sequence A132046 A132047 A132048
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 08 2007
|
|
|
Search completed in 0.002 seconds
|
