OFFSET
0,2
COMMENTS
Sequence A193769 lists the elements of the array in order of increasing size. Sequence A081458 is the subtable with every other row and column deleted (i.e., m,n=0,2,4,...). (The earlier existence of that table in the OEIS has motivated the definition of the present sequence/table.)
Looking at the example one can notice the periodicity of the final digit(s) of the terms; it is easy to prove these formulas. - M. F. Hasler, Jan 06 2013
LINKS
Ivan Neretin, Table of n, a(n) for n = 0..5049
FORMULA
T(m,n+4) = T(m,n) (mod 10),
T(m+1,n) = T(m,n) (mod 10) for m > 0,
T(m+1,n) = T(m,n) + 50 (mod 100) for m > 1, etc. - M. F. Hasler, Jan 06 2013
EXAMPLE
The upper left part of the infinite square array reads:
[ 1 2 5 14 41 122 365 1094 3281 ...]
[ 3 4 7 16 43 124 367 1096 3283 ...]
[ 13 14 17 26 53 134 377 1106 3293 ...]
[ 63 64 67 76 103 184 427 1156 3343 ...]
[ 313 314 317 326 353 434 677 1406 3593 ...]
[1563 1564 1567 1576 1603 1684 1927 2656 4843 ...]
[7813 7814 7817 7826 7853 7934 8177 8906 11093 ...]
[...]
MATHEMATICA
Flatten@Table[(5^j + 3^(i - j))/2, {i, 0, 8}, {j, 0, i}] (* Ivan Neretin, Sep 07 2017 *)
PROG
(PARI) for(x=0, 10, for(y=0, x, print1((3^(x-y)+5^y)/2 ", "))) \\ prints this sequence; to get the table, use matrix(7, 9, m, n, 3^n/3+5^m/5)/2 \\ M. F. Hasler, Jan 06 2013
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
M. F. Hasler, Jan 01 2013
STATUS
approved