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 A083415 Triangle read by rows: T(n,k) is defined as follows. Write the numbers from 1 to n^2 consecutively in n rows of length n; T(n,k) = number of primes in k-th row. 6
 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 3, 1, 2, 2, 1, 3, 2, 2, 2, 1, 1, 4, 2, 2, 1, 2, 2, 2, 4, 2, 3, 2, 1, 3, 1, 2, 4, 3, 2, 2, 3, 2, 2, 2, 2, 4, 4, 2, 2, 3, 2, 2, 3, 2, 1, 5, 3, 3, 3, 2, 2, 3, 2, 2, 4, 1, 5, 4, 2, 4, 2, 3, 3, 1, 4, 2, 2, 2, 6, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 2, 3, 6, 3, 4, 3, 3, 4, 2, 4 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Sum(T(n,k): 1<=k<=n) = A038107(n); T(n,1)=A000720(n); T(n,2)=A060715(n) for n>1. - Reinhard Zumkeller, Jan 07 2004 REFERENCES Paulo Ribenboim, "The Little Book Of Big Primes," Springer-Verlag, NY 1991, page 185. LINKS T. D. Noe, Rows n=1..100 of triangle, flattened EXAMPLE {0} {1, 1} {2, 1, 1} from / 1 2 3 / 4 5 6 / 7 8 9 / {2, 2, 1, 1} {3, 1, 2, 2, 1} {3, 2, 2, 2, 1, 1} MATHEMATICA Table[PrimePi[m n]-PrimePi[(m-1) n], {n, 17}, {m, n}] PROG (Haskell) a083415 n k = a083415_row n !! (k-1) a083415_row n = f n a010051_list where    f 0 _     = []    f k chips = (sum chin) : f (k - 1) chips' where      (chin, chips') = splitAt n chips a083415_tabl = map a083415_row [1..] -- Reinhard Zumkeller, Jun 10 2012 CROSSREFS Cf. A083382, A083414, A092556, A092557. Cf. A139325. Cf. A010051. Sequence in context: A174545 A102523 A323023 * A115514 A326038 A122632 Adjacent sequences:  A083412 A083413 A083414 * A083416 A083417 A083418 KEYWORD nonn,tabl AUTHOR N. J. A. Sloane, following a suggestion of Wouter Meeussen, Jun 10 2003 STATUS approved

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Last modified September 21 12:28 EDT 2021. Contains 347598 sequences. (Running on oeis4.)