A219031 Table read by rows: n-th row lists all distinct subwords of decimal representation of n-th square.

0, 1, 4, 9, 1, 6, 16, 2, 5, 25, 3, 6, 36, 4, 9, 49, 4, 6, 64, 1, 8, 81, 0, 1, 10, 100, 1, 2, 12, 21, 121, 1, 4, 14, 44, 144, 1, 6, 9, 16, 69, 169, 1, 6, 9, 19, 96, 196, 2, 5, 22, 25, 225, 2, 5, 6, 25, 56, 256, 2, 8, 9, 28, 89, 289, 2, 3, 4, 24, 32, 324, 1, 3

Offset

0,3

Comments

A219032(n) gives number of squares in n-th row.

Links

Reinhard Zumkeller, Rows n=0..1000 of triangle, flattened

Example

First 50 rows of triangle:
.   0: [0]                      .  25: [2,5,6,25,62,625]
.   1: [1]                      .  26: [6,7,67,76,676]
.   2: [4]                      .  27: [2,7,9,29,72,729]
.   3: [9]                      .  28: [4,7,8,78,84,784]
.   4: [1,6,16]                 .  29: [1,4,8,41,84,841]
.   5: [2,5,25]                 .  30: [0,9,90,900]
.   6: [3,6,36]                 .  31: [1,6,9,61,96,961]
.   7: [4,9,49]                 .  32: [0,1,2,4,10,24,102,1024]
.   8: [4,6,64]                 .  33: [0,1,8,9,10,89,108,1089]
.   9: [1,8,81]                 .  34: [1,5,6,11,15,56,115,156,1156]
.  10: [0,1,10,100]             .  35: [1,2,5,12,22,25,122,225,1225]
.  11: [1,2,12,21,121]          .  36: [1,2,6,9,12,29,96,129,296,1296]
.  12: [1,4,14,44,144]          .  37: [1,3,6,9,13,36,69,136,369,1369]
.  13: [1,6,9,16,69,169]        .  38: [1,4,14,44,144,444,1444]
.  14: [1,6,9,19,96,196]        .  39: [1,2,5,15,21,52,152,521,1521]
.  15: [2,5,22,25,225]          .  40: [0,1,6,16,60,160,600,1600]
.  16: [2,5,6,25,56,256]        .  41: [1,6,8,16,68,81,168,681,1681]
.  17: [2,8,9,28,89,289]        .  42: [1,4,6,7,17,64,76,176,764,1764]
.  18: [2,3,4,24,32,324]        .  43: [1,4,8,9,18,49,84,184,849,1849]
.  19: [1,3,6,36,61,361]        .  44: [1,3,6,9,19,36,93,193,936,1936]
.  20: [0,4,40,400]             .  45: [0,2,5,20,25,202,2025]
.  21: [1,4,41,44,441]          .  46: [1,2,6,11,16,21,116,211,2116]
.  22: [4,8,48,84,484]          .  47: [0,2,9,20,22,209,220,2209]
.  23: [2,5,9,29,52,529]        .  48: [0,2,3,4,23,30,230,304,2304]
.  24: [5,6,7,57,76,576]        .  49: [0,1,2,4,24,40,240,401,2401] .

Prog

(Haskell)
a219031 n k = a219031_tabf !! n !! k
a219031_row n = a219031_tabf !! n
a219031_tabf = map a218978_row a000290_list

Crossrefs

Cf. A218978, A000290.

Sequence in context: A010297 A001191 A120865 * A243452 A133868 A295709

Adjacent sequences: A219028 A219029 A219030 * A219032 A219033 A219034

Keyword

nonn,tabf,base,look

Author

Reinhard Zumkeller, Nov 10 2012

Status

approved