A141575 - cp's OEIS frontend

A141575 A gap prime-type triangular sequence of coefficients: gap(n)=Prime[n+1]-Prime[n]; t(n,m)=If[n == m == 0, 1, If[m == 0, ((Prime[n] + gap[n])^ n + (Prime[n] - gap[n])^n)/2, ((Prime[n] + gap[n]Sqrt[Prime[m]])^n + (Prime[n] - gap[n]Sqrt[Prime[m]])^n)/2]].

n	a(n)
1	1
2	2
3	2
4	13
5	17
6	21
7	185
8	245
9	305
10	425
11	7361
12	12833
13	18817
14	32321
15	47873
16	215171
17	271051
18	328691
19	449251
20	576851
21	853171
22	12334505
23	21164697
24	31341961
25	55836009
26	86013257
27	164203785
28	212610281
29	532365557
30	659940697
31	793109789
32	1076412613

[1, 2, 2, 13, 17, 21, 185, 245, 305, 425, 7361, 12833, 18817, 32321, 47873, 215171, 271051, 328691, 449251, 576851, 853171, 12334505, 21164697, 31341961, 55836009, 86013257, 164203785, 212610281, 532365557, 659940697, 793109789, 1076412613]

cp's OEIS Frontend

A141575 A gap prime-type triangular sequence of coefficients: gap(n)=Prime[n+1]-Prime[n]; t(n,m)=If[n == m == 0, 1, If[m == 0, ((Prime[n] + gap[n])^ n + (Prime[n] - gap[n])^n)/2, ((Prime[n] + gap[n]Sqrt[Prime[m]])^n + (Prime[n] - gap[n]Sqrt[Prime[m]])^n)/2]].

Table of values

List of values

cp's OEIS Frontend

A141575 A gap prime-type triangular sequence of coefficients: gap(n)=Prime[n+1]-Prime[n]; t(n,m)=If[n == m == 0, 1, If[m == 0, ((Prime[n] + gap[n])^ n + (Prime[n] - gap[n])^n)/2, ((Prime[n] + gap[n]*Sqrt[Prime[m]])^n + (Prime[n] - gap[n]*Sqrt[Prime[m]])^n)/2]].

Table of values

List of values

A141575 A gap prime-type triangular sequence of coefficients: gap(n)=Prime[n+1]-Prime[n]; t(n,m)=If[n == m == 0, 1, If[m == 0, ((Prime[n] + gap[n])^ n + (Prime[n] - gap[n])^n)/2, ((Prime[n] + gap[n]Sqrt[Prime[m]])^n + (Prime[n] - gap[n]Sqrt[Prime[m]])^n)/2]].