|
|
A073211
|
|
Sum of two powers of 11.
|
|
5
|
|
|
2, 12, 22, 122, 132, 242, 1332, 1342, 1452, 2662, 14642, 14652, 14762, 15972, 29282, 161052, 161062, 161172, 162382, 175692, 322102, 1771562, 1771572, 1771682, 1772892, 1786202, 1932612, 3543122, 19487172, 19487182, 19487292, 19488502, 19501812, 19648222, 21258732, 38974342
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,1
|
|
LINKS
|
T. D. Noe, Rows n = 0..100 of triangle, flattened
|
|
FORMULA
|
T(n,m) = 11^n + 11^m, n = 0, 1, 2, 3, ..., m = 0, 1, 2, 3, ... n.
Bivariate g.f.: (2 - 12*x)/((1 - x)*(1 - 11*x)*(1 - 11*x*y)). - J. Douglas Morrison, Jul 26 2021
|
|
EXAMPLE
|
T(2,0) = 11^2 + 11^0 = 122.
Table T(n,m) begins:
2;
12, 22;
122, 132, 242;
1332, 1342, 1452, 2662;
14642, 14652, 14762, 15972, 29282;
...
|
|
MATHEMATICA
|
t = 11^Range[0, 9]; Select[Union[Flatten[Table[i + j, {i, t}, {j, t}]]], # <= t[[-1]] + 1 &] (* T. D. Noe, Oct 09 2011 *)
|
|
CROSSREFS
|
Cf. A001020 (powers of 11).
Equals twice A073219.
Sums of two powers of n: A073423 (0), A007395 (1), A173786 (2), A055235 (3), A055236 (4), A055237 (5), A055257 (6), A055258 (7), A055259 (8), A055260 (9), A052216 (10), A194887 (12), A072390 (13), A055261 (16), A073213 (17), A073214 (19), A073215 (23).
Sequence in context: A190642 A108960 A111095 * A233137 A094626 A093378
Adjacent sequences: A073208 A073209 A073210 * A073212 A073213 A073214
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Jeremy Gardiner, Jul 20 2002
|
|
STATUS
|
approved
|
|
|
|