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A134377
Binomial transform of A045621.
0
1, 3, 10, 32, 101, 315, 975, 3001, 9199, 28109, 85680, 260650, 791663, 2401313, 7275738, 22024152, 66615351, 201349365, 608227698, 1836345996, 5541690723, 16716767709, 50408518791, 151954553565, 457926628077, 1379630558935, 4155518092780, 12513892232666, 37676692203405
OFFSET
1,2
COMMENTS
Given A045621 starting (1, 2, 5, 10, 22, 44, 93, ...).
Note that this uses an incorrect offset of -1 with A045621. - R. J. Mathar, Apr 04 2012
FORMULA
A007318 * A045621, A045621 starting with 1.
EXAMPLE
a(4) = 32 = (1, 3, 3, 1) dot (1, 2, 5, 10) = (1 + 6 + 15 + 10).
MATHEMATICA
s[n_] := 2^n - Binomial[n, Floor[n/2]]; Table[Sum[Binomial[n, k]*s[k + 1], {k, 0, n}], {n, 0, 28}] (* Amiram Eldar, May 31 2025 *)
CROSSREFS
Sequence in context: A247595 A092822 A017935 * A278133 A077826 A292398
KEYWORD
nonn
AUTHOR
Gary W. Adamson, Oct 22 2007
EXTENSIONS
More terms from Amiram Eldar, May 31 2025
STATUS
approved