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A352109
Starts of runs of 3 consecutive lazy-tribonacci-Niven numbers (A352107).
11
175, 1183, 2259, 5290, 12969, 21130, 51820, 70629, 78090, 79540, 81818, 129648, 160224, 169234, 180908, 228240, 238574, 249494, 278628, 332891, 376335, 383866, 398650, 399644, 454090, 550380, 565200, 683448, 683604, 694274, 728895, 754390, 782110, 809830, 837550
OFFSET
1,1
EXAMPLE
175 is a term since 175, 176 and 177 are all divisible by the number of terms in their maximal tribonacci representation:
k A352103(k) A352104(k) k/A352104(k)
--- ---------- ---------- ------------
175 11111110 7 25
176 11111111 8 22
177 100100100 3 59
MATHEMATICA
t[1] = 1; t[2] = 2; t[3] = 4; t[n_] := t[n] = t[n - 1] + t[n - 2] + t[n - 3]; trib[n_] := Module[{s = {}, m = n, k}, While[m > 0, k = 1; While[t[k] <= m, k++]; k--; AppendTo[s, k]; m -= t[k]; k = 1]; IntegerDigits[Total[2^(s - 1)], 2]]; lazyTriboNivenQ[n_] := Module[{v = trib[n]}, nv = Length[v]; i = 1; While[i <= nv - 3, If[v[[i ;; i + 3]] == {1, 0, 0, 0}, v[[i ;; i + 3]] = {0, 1, 1, 1}; If[i > 3, i -= 4]]; i++]; i = Position[v, _?(# > 0 &)]; If[i == {}, False, Divisible[n, Total[v[[i[[1, 1]] ;; -1]]]]]]; seq[count_, nConsec_] := Module[{tri = lazyTriboNivenQ /@ Range[nConsec], s = {}, c = 0, k = nConsec + 1}, While[c < count, If[And @@ tri, c++; AppendTo[s, k - nConsec]]; tri = Join[Rest[tri], {lazyTriboNivenQ[k]}]; k++]; s]; seq[30, 3]
CROSSREFS
Subsequence of A352107 and A352108.
A352110 is a subsequence.
Sequence in context: A332047 A186211 A205748 * A349674 A205470 A187420
KEYWORD
nonn,base
AUTHOR
Amiram Eldar, Mar 05 2022
STATUS
approved

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Last modified September 20 03:37 EDT 2024. Contains 376016 sequences. (Running on oeis4.)