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 A303380 A(n, k) is the smallest number x > A(n, k-1) such that every letter, with repetition, that occurs in the English name of A(n, k-1) also occurs in the English name of x, with A(n, 1) = n; square array, read by antidiagonals downwards. 1
 1, 14, 2, 74, 21, 3, 147, 120, 13, 4, 174, 121, 37, 14, 5, 471, 1120, 137, 74, 25, 6, 1135, 1121, 731, 147, 125, 16, 7, 1531, 14121, 1135, 174, 521, 67, 17, 8, 5131, 21114, 1531, 471, 1125, 76, 77, 18, 9, 13145, 21174, 5131, 1135, 1521, 167, 177, 78, 19, 10 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS FORMULA A(n, 1) = n. For k > 1, A(n, k) = A303475(A(n, k-1)). EXAMPLE Array starts 1, 14,  74, 147,  174,  471,  1135,  1531,  5131, 13145, ... 2, 21, 120, 121, 1120, 1121, 14121, 21114, 21174, 21471, ... 3, 13,  37, 137,  731, 1135,  1531,  5131, 13145, 13541, ... 4, 14,  74, 147,  174,  471,  1135,  1531,  5131, 13145, ... 5, 25, 125, 521, 1125, 1521,  5121, 11249, 11294, 11492, ... 6, 16,  67,  76,  167,  176,   671,   761,  1165,  1561, ... 7, 17,  77, 177,  771, 1175,  1571,  5171, 14175, 14571, ... 8, 18,  78, 178,  871, 1178,  1871,  8171, 14178, 14871, ... 9, 19,  79,  97,  137,  731,  1135,  1531,  5131, 13145, ... ... Initial terms of row n=1 illustrated in detail, with dots denoting places where new letters are inserted: one -> .o...e.n -> fourteen fourteen -> .e.ent.four -> seventyfour seventyfour -> one.u..re.f..tys.v.. -> onehundredfortyseven onehundredfortyseven -> onehundredseventyfo.r -> onehundredseventyfour PROG (PARI) T(n, k) = if (k == 1, n, a303475(T(n, k-1))); tabl(nn) = for (n=1, nn, for (k=1, nn, print1(T(n, k), ", ")); print); \\ Michel Marcus, Apr 24 2018 CROSSREFS Cf. A303475. Sequence in context: A067740 A037923 A040195 * A242061 A040189 A088576 Adjacent sequences:  A303377 A303378 A303379 * A303381 A303382 A303383 KEYWORD nonn,word,tabl AUTHOR Felix FrÃ¶hlich, Apr 22 2018 STATUS approved

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Last modified March 20 19:23 EDT 2019. Contains 321349 sequences. (Running on oeis4.)