|
Search: id:A088504
|
|
|
| A088504 |
|
Sum of even entries in row n of Pascal's triangle. |
|
+0
2
|
|
| 0, 0, 2, 0, 14, 20, 32, 0, 254, 492, 932, 1584, 3104, 4160, 8192, 0, 65534, 131036, 261836, 521968, 1038884, 2044440, 4029984, 7607296, 15306272, 27305280, 53360192, 77448960, 201334784, 268451840, 536870912, 0, 4294967294
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
a(n) = 0 iff n = 2^k - 1.
A088560(n) = A088504(n) iff n = 2^k - 2, k>1. A088560(n) > A088504(n) iff n = 2^k - 1.
|
|
FORMULA
|
A088504(n) + A088560(n) = 2^n. A088504(n) - A088560(n) = A085814(n).
|
|
MATHEMATICA
|
f[n_] := Plus @@ Select[ Table[ Binomial[n, i], {i, 0, n}], EvenQ[ # ] & ]; Table[ f[n], {n, 0, 35}] (from Robert G. Wilson v Nov 19 2003)
|
|
CROSSREFS
|
Cf. A048967.
Sequence in context: A122688 A110685 A064855 this_sequence A074031 A086261 A111978
Adjacent sequences: A088501 A088502 A088503 this_sequence A088505 A088506 A088507
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 18 2003
|
|
EXTENSIONS
|
Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com) and Ray Chandler (rayjchandler(AT)sbcglobal.net), Nov 19 2003
|
|
|
Search completed in 0.002 seconds
|
