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A292690 Square array whose n-th row lists all numbers having n as a substring, read by falling antidiagonals, n >= 0. 11
0, 10, 1, 20, 10, 2, 30, 11, 12, 3, 40, 12, 20, 13, 4, 50, 13, 21, 23, 14, 5, 60, 14, 22, 30, 24, 15, 6, 70, 15, 23, 31, 34, 25, 16, 7, 80, 16, 24, 32, 40, 35, 26, 17, 8, 90, 17, 25, 33, 41, 45, 36, 27, 18, 9, 100, 18, 26, 34, 42, 50, 46, 37, 28, 19, 10 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

This array starts with row 0, see A293869 for the variant which starts with row 1.

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

The array starts:

   [ 0  10  20  30  40  50  60  70  80  90 100 101 102 ...] = A011540

   [ 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 ...] = A293870

   [11 110 111 112 113 114 115 116 117 118 119 211 311 ...] = A293871

   [12 112 120 121 122 123 124 125 126 127 128 129 212 ...] = A293872

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

PROG

(PARI) has(n, p, m=10^#Str(p))=until(p+!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))

for(i=1, 11, for(j=1, i, print1(%[j, i-j+1]", "))) \\ Read by antidiagonals

CROSSREFS

Cf. A293869.

Cf. A011540, A011531, A011532, A011533, A011534, A011535, A011536, A011537, A011538, A011539: rows 0 - 9.

Cf.  A293870, A293871, A293872, A293873, A293874, A293875, A293876, A293877, A293878, A293879, A293880: rows 10 .. 20.

Cf. A121041, A121022, A121023, A121024, A121025, A121026, A121027, A121028, A121029, A121030, A121031, A121032, A121033, A121034, A121035, A121036, A121037, A121038, A121039, A121040: subsequences of the above, only multiples of the pattern p.

Sequence in context: A059920 A040109 A317054 * A036188 A013617 A243002

Adjacent sequences:  A292687 A292688 A292689 * A292691 A292692 A292693

KEYWORD

nonn,base,tabl

AUTHOR

M. F. Hasler, Oct 18 2017

STATUS

approved

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Last modified March 26 00:29 EDT 2019. Contains 321479 sequences. (Running on oeis4.)