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 A033292 A Connell-like sequence: take 1 number = 1 (mod Q), 2 numbers = 2 (mod Q), 3 numbers = 3 (mod Q), etc., where Q = 3. 6
 1, 2, 5, 6, 9, 12, 13, 16, 19, 22, 23, 26, 29, 32, 35, 36, 39, 42, 45, 48, 51, 52, 55, 58, 61, 64, 67, 70, 71, 74, 77, 80, 83, 86, 89, 92, 93, 96, 99, 102, 105, 108, 111, 114, 117, 118, 121, 124, 127, 130, 133, 136, 139, 142, 145, 146, 149, 152, 155, 158, 161, 164, 167, 170, 173, 176, 177, 180 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Left border of the triangle (1, 2, 6, 13, 23, 36, ...) = A143689 = A000326(n) - 3n, where A000326 = the pentagonal numbers, right border. - Gary W. Adamson, Aug 29 2008 Row sums = A143690: (1, 7, 27, 70, 145, 261, 427, 652, ...). - Gary W. Adamson, Aug 29 2008 Central terms = A136392. - Reinhard Zumkeller, Jan 18 2012 LINKS Reinhard Zumkeller, Rows n = 1..120 of triangle, flattened Douglas E. Iannucci and Donna Mills-Taylor, On Generalizing the Connell Sequence, J. Integer Sequences, Vol. 2, 1999, #99.1.7. Gary E. Stevens, A Connell-Like Sequence, J. Integer Sequences, 1 (1998), #98.1.4. MATHEMATICA row[n_] := n*(3*n-1)/2 + Range[1, 3*n+1, 3]; Flatten[ Table[ row[n], {n, 0, 11}]] (* Jean-François Alcover, Aug 03 2012 *) PROG (Haskell) a033292 n k = a033292_tabl !! (n-1) !! (k-1) a033292_row n = a033292_tabl !! (n-1) a033292_tabl = f 1 [1..] where f k xs = ys : f (k+1) (dropWhile (<= last ys) xs) where ys = take k \$ filter ((== 0) . (`mod` 3) . (subtract k)) xs -- Reinhard Zumkeller, Jan 18 2012 2011 CROSSREFS Sequence in context: A276886 A047323 A343076 * A090500 A050487 A046962 Adjacent sequences: A033289 A033290 A033291 * A033293 A033294 A033295 KEYWORD nonn,easy,nice,tabl AUTHOR Gary E. Stevens EXTENSIONS More terms from jeroen.lahousse(AT)icl.com Offset changed by Reinhard Zumkeller, Jan 18 2012 STATUS approved

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Last modified February 26 13:41 EST 2024. Contains 370352 sequences. (Running on oeis4.)