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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 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 August 9 01:35 EDT 2020. Contains 336310 sequences. (Running on oeis4.)