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 A152112 Number of increasing initial sequences of bases of order 3. 2
 1, 1, 3, 13, 86, 760, 8518 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Using the terminology of A008932, call a set A a basis of order h if every number can be written as the sum of h (not necessarily distinct) elements of A. Call a basis an increasing basis of order h if its elements are arranged in increasing order, a0ii-1, max=ii-2; Break[]]]); index=1; seq[1]={0, 1}; rindex=1; newindex=1; For[k=1, k<=5, k++, jbegin=rindex; jend=index; For[j=jbegin, j<=jend, j++, f[seq[j]]; For[i=Max[seq[j]]+1, i<=max+1, i++, index++; seq[index]=Append[seq[rindex], i] ]; rindex=rindex+1; ]] For[i=1, i<=index, i++, Print[i, " ", seq[i]]] (* David S. Newman, Dec 29 2014 *) CROSSREFS Cf. A008932, A152111. Sequence in context: A354436 A157451 A188204 * A167810 A331646 A054420 Adjacent sequences: A152109 A152110 A152111 * A152113 A152114 A152115 KEYWORD nonn,more AUTHOR David S. Newman, Mar 22 2009 EXTENSIONS a(6)-a(7) from David S. Newman, Dec 29 2014 STATUS approved

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Last modified April 20 12:36 EDT 2024. Contains 371844 sequences. (Running on oeis4.)