login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A088560 Sum of odd entries in row n of Pascal's triangle. 3
1, 2, 2, 8, 2, 12, 32, 128, 2, 20, 92, 464, 992, 4032, 8192, 32768, 2, 36, 308, 2320, 9692, 52712, 164320, 781312, 1470944, 6249152, 13748672, 56768768, 67100672, 268419072, 536870912, 2147483648, 2, 68, 1124, 14352, 117812, 1003960, 5670400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = a power of 2 iff n = 2^k - 2, 2^k - 1 or 2^k.

a(n) = A088504(n) iff n = 2^k - 2, k>1. a(n) > A088504(n) iff n = 2^k - 1.

Sums of rows of the triangle in A143333. - Reinhard Zumkeller, Oct 24 2010

LINKS

Robert Israel, Table of n, a(n) for n = 0..3420

FORMULA

a(n) + A088504(n) = 2^n. A088504(n) - a(n) = A085814(n).

a(2^n)=2; a(2^n-1)=2^(2^n-1); a(2^n+1)=2^(n+1)+4 ... - Benoit Cloitre, Nov 19 2003

MAPLE

T:= [1]: R:= 1:

for i from 1 to 50 do

  T:= [1, op(T[2..-1]+T[1..-2]), 1];

  R:= R, convert(select(type, T, odd), `+`)

od:

R; # Robert Israel, Apr 17 2020

MATHEMATICA

f[n_] := Plus @@ Select[ Table[ Binomial[n, i], {i, 0, n}], OddQ[ # ] & ]; Table[ f[n], {n, 0, 38}] (* Robert G. Wilson v, Nov 19 2003 *)

PROG

(PARI) a(n)=sum(i=0, n, binomial(n, i)*(binomial(n, i)%2))

CROSSREFS

Cf. A001316, A088504, A085814, A143333.

Sequence in context: A098818 A092694 A098984 * A222821 A245497 A086328

Adjacent sequences:  A088557 A088558 A088559 * A088561 A088562 A088563

KEYWORD

nonn,look

AUTHOR

Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 17 2003

EXTENSIONS

Edited and extended by Robert G. Wilson v and Ray Chandler, Nov 19 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 12 03:34 EDT 2020. Contains 335658 sequences. (Running on oeis4.)