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A360206
Triangular array T(m,n) read by antidiagonals: T(m,n) = prime(m+n) - prime(m) - prime(n).
1
-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, 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, 11, 15, 13, 17, 17, 13, 17, 2, 3, 5, 9, 11, 11, 13, 15, 13, 13
OFFSET
1,5
FORMULA
T(m,n) = prime(m+n) - prime(m) - prime(n).
EXAMPLE
First seven rows:
-1
0 1
0 3 3
2 3 5 5
0 3 3 3 7
2 3 5 9 7 11
0 3 7 7 9 11 9
T(4,3) = prime(7) - prime(4) - prime(3) = 17 - 7 - 5 = 5.
MATHEMATICA
p[n_] := Prime[n];
t = Table[p[m + n] - p[m] - p[n], {m, 1, 15}, {n, 1, m}]
Flatten[t] (* A360206 sequence *)
TableForm[t] (* A360206 array *)
CROSSREFS
Cf. A000040, A066066 (right diagonal).
Sequence in context: A261735 A129309 A268931 * A003560 A262212 A123676
KEYWORD
tabl,sign
AUTHOR
Clark Kimberling, Jan 30 2023
STATUS
approved