The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A360206 Triangular array T(m,n) read by antidiagonals: T(m,n) = prime(m+n) - prime(m) - prime(n). 1

%I #15 Feb 01 2023 08:17:08

%S -1,0,1,0,3,3,2,3,5,5,0,3,3,5,7,2,3,5,9,7,11,0,3,7,7,9,11,9,2,7,7,11,

%T 11,11,11,15,4,5,9,11,9,11,13,17,15,0,5,7,7,7,11,13,13,15,13,4,7,7,9,

%U 11,15,13,17,17,13,17,2,3,5,9,11,11,13,15,13,13

%N Triangular array T(m,n) read by antidiagonals: T(m,n) = prime(m+n) - prime(m) - prime(n).

%F T(m,n) = prime(m+n) - prime(m) - prime(n).

%e First seven rows:

%e -1

%e 0 1

%e 0 3 3

%e 2 3 5 5

%e 0 3 3 3 7

%e 2 3 5 9 7 11

%e 0 3 7 7 9 11 9

%e T(4,3) = prime(7) - prime(4) - prime(3) = 17 - 7 - 5 = 5.

%t p[n_] := Prime[n];

%t t = Table[p[m + n] - p[m] - p[n], {m, 1, 15}, {n, 1, m}]

%t Flatten[t] (* A360206 sequence *)

%t TableForm[t] (* A360206 array *)

%Y Cf. A000040, A066066 (right diagonal).

%K tabl,sign

%O 1,5

%A _Clark Kimberling_, Jan 30 2023

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 May 31 01:18 EDT 2024. Contains 372980 sequences. (Running on oeis4.)