login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010759 Sum along upward diagonal of Pascal triangle from halfway point. 3

%I #15 Feb 10 2022 08:43:22

%S 1,1,1,2,4,7,7,14,26,46,51,97,176,309,365,674,1204,2098,2587,4685,

%T 8273,14323,18228,32551,56967,98086,127921,226007,392688,672959,

%U 895103,1568062,2708322,4622488,6249235,10871723,18683233,31775031,43551364

%N Sum along upward diagonal of Pascal triangle from halfway point.

%H Seiichi Manyama, <a href="/A010759/b010759.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = Sum_{k=floor((n+2)/4)..floor(n/2)} binomial(n - k, k). - _Seiichi Manyama_, Feb 10 2022

%o (PARI) a(n) = sum(k=(n+2)\4, n\2, binomial(n-k, k)); \\ _Seiichi Manyama_, Feb 10 2022

%Y Cf. A000045, A007318, A010754, A010755, A010758.

%K nonn

%O 0,4

%A _R. K. Guy_

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)