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 A069753 Smallest k>n such that the tetrahedral number n*(n+1)*(n+2)/6 divides the tetrahedral number k*(k+1)*(k+2)/6. 0
 2, 4, 4, 8, 13, 14, 26, 54, 43, 20, 64, 26, 63, 48, 118, 270, 151, 170, 55, 54, 229, 207, 274, 350, 323, 350, 376, 174, 433, 928, 494, 1054, 119, 440, 259, 664, 701, 208, 778, 328, 859, 516, 944, 504, 1033, 2160, 1126, 2350, 1223, 1274, 1324, 1376, 1429, 350 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS MATHEMATICA stn[n_]:=Module[{i=n+1, tn=(n(n+1)(n+2))/6}, While[!Divisible[(i(i+1) (i+2))/6, tn], i++]; i]; stn/@Range[70]  (* Harvey P. Dale, Apr 11 2011 *) PROG (PARI) for(s=1, 80, n=s+1; while(frac(n*(n+1)*(n+2)/(s*(s+1)*(s+2)))>0, n++); print1(n, ", "); ) CROSSREFS Sequence in context: A335974 A047073 A308528 * A181245 A216950 A240364 Adjacent sequences:  A069750 A069751 A069752 * A069754 A069755 A069756 KEYWORD easy,nonn AUTHOR Benoit Cloitre, May 01 2002 STATUS approved

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Last modified August 9 05:12 EDT 2020. Contains 336319 sequences. (Running on oeis4.)