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A067574
Array T(i,j) read by ascending antidiagonals, where T(i,j) is the concatenation of i and j (1<=i, 1<=j).
5
11, 21, 12, 31, 22, 13, 41, 32, 23, 14, 51, 42, 33, 24, 15, 61, 52, 43, 34, 25, 16, 71, 62, 53, 44, 35, 26, 17, 81, 72, 63, 54, 45, 36, 27, 18, 91, 82, 73, 64, 55, 46, 37, 28, 19, 101, 92, 83, 74, 65, 56, 47, 38, 29, 110, 111, 102, 93, 84, 75, 66, 57, 48, 39, 210, 111
OFFSET
1,1
COMMENTS
The antidiagonals are read in the opposite direction to those in A066686.
FORMULA
T(i, j) = i*10^A055642(i) + j. - Michael S. Branicky, Nov 21 2021
EXAMPLE
The array begins
11 12 13 14 15 16 17 18 19 110 ...
21 22 23 24 25 26 27 28 29 210 ...
31 32 33 34 35 36 37 38 39 310 ...
41 42 43 44 45 46 47 48 49 410 ...
MATHEMATICA
a = {}; Do[ a = Append[a, ToExpression[ StringJoin[ ToString[i - j], ToString[j]]]], {i, 2, 13}, {j, 1, i - 1} ]; a
PROG
(Python)
def T(i, j): return int(str(i) + str(j))
def auptodiag(maxd):
return [T(d+1-j, j) for d in range(1, maxd+1) for j in range(1, d+1)]
print(auptodiag(12)) # Michael S. Branicky, Nov 21 2021
CROSSREFS
KEYWORD
base,easy,nonn,tabl
AUTHOR
Robert G. Wilson v, Jan 30 2002
STATUS
approved