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A293869 Square array whose n-th row lists all numbers having n as a substring, n >= 1; read by falling antidiagonals. 12
1, 10, 2, 11, 12, 3, 12, 20, 13, 4, 13, 21, 23, 14, 5, 14, 22, 30, 24, 15, 6, 15, 23, 31, 34, 25, 16, 7, 16, 24, 32, 40, 35, 26, 17, 8, 17, 25, 33, 41, 45, 36, 27, 18, 9, 18, 26, 34, 42, 50, 46, 37, 28, 19, 10, 19, 27, 35, 43, 51, 56, 47, 38, 29, 100, 11 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

The array starts:

   [ 1  10  11  12  13  14  15  16  17  18  19  21  31 ...] = A011531

   [ 2  12  20  21  22  23  24  25  26  27  28  29  32 ...] = A011532

   [ 3  13  23  30  31  32  33  34  35  36  37  38  39 ...] = A011533

   [ 4  14  24  34  40  41  42  43  44  45  46  47  48 ...] = A011534

   [ 5  15  25  35  45  50  51  52  53  54  55  56  57 ...] = A011535

   [ 6  16  26  36  46  56  60  61  62  63  64  65  66 ...] = A011536

   [ 7  17  27  37  47  57  67  70  71  72  73  74  75 ...] = A011537

   [ 8  18  28  38  48  58  68  78  80  81  82  83  84 ...] = A011538

   [ 9  19  29  39  49  59  69  79  89  90  91  92  93 ...] = A011539

   [10 100 101 102 103 104 105 106 107 108 109 110 210 ...] (not in OEIS)

   [11 110 111 112 113 114 115 116 117 118 119 211 311 ...] (not in OEIS)

   [12 112 120 121 122 123 124 125 126 127 128 129 212 ...] (not in OEIS)

   [   ...             ...             ...             ...]

PROG

(PARI) has=(n, p, m=10^#Str(p))->until(p>n\=10, n%m==p&&return(1))

Mat(vectorv(12, n, a=[]; for(k=n, oo, has(k, n)||next; a=concat(a, k); #a>12&&break); a))

CROSSREFS

Cf. A293870 (variant starting with row 0).

Cf. A011540, A011531, A011532, A011533, A011534, A011535, A011536, A011537, A011538, A011539.

Cf. A121041, A121022, A121023, A121024, A121025, A121026, A121027, A121028, A121029, A121030, A121031, A121032, A121033, A121034, A121035, A121036, A121037, A121038, A121039, A121040.

Cf. A179239, A261370.

Cf. A292451, A292731 (both partially coincide with row 11, but no inclusion relation holds).

Sequence in context: A303848 A303783 A274606 * A323821 A257277 A248024

Adjacent sequences:  A293866 A293867 A293868 * A293870 A293871 A293872

KEYWORD

nonn,base,tabl

AUTHOR

M. F. Hasler, Oct 18 2017

STATUS

approved

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Last modified April 18 14:43 EDT 2019. Contains 322209 sequences. (Running on oeis4.)