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A234575 Triangle T(n,k) read by rows: T(n,k) = floor(n/k) + n mod k, with 1<=k<=n. 2
1, 2, 1, 3, 2, 1, 4, 2, 2, 1, 5, 3, 3, 2, 1, 6, 3, 2, 3, 2, 1, 7, 4, 3, 4, 3, 2, 1, 8, 4, 4, 2, 4, 3, 2, 1, 9, 5, 3, 3, 5, 4, 3, 2, 1, 10, 5, 4, 4, 2, 5, 4, 3, 2, 1, 11, 6, 5, 5, 3, 6, 5, 4, 3, 2, 1, 12, 6, 4, 3, 4, 2, 6, 5, 4, 3, 2, 1, 13, 7, 5, 4, 5, 3, 7, 6, 5 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

T(n,k) = A048158(n,k) + A010766(n,k). - Reinhard Zumkeller, Apr 29 2015

LINKS

Antti Karttunen, Rows n = 1..144 of triangular table, flattened

EXAMPLE

Triangle begins:

   1

   2  1

   3  2  1

   4  2  2  1

   5  3  3  2  1

   6  3  2  3  2  1

   7  4  3  4  3  2  1

   8  4  4  2  4  3  2  1

   9  5  3  3  5  4  3  2  1

  10  5  4  4  2  5  4  3  2  1

  11  6  5  5  3  6  5  4  3  2  1

  12  6  4  3  4  2  6  5  4  3  2  1

  13  7  5  4  5  3  7  6  5  4  3  2  1

  14  7  6  5  6  4  2  7  6  5  4  3  2  1

  15  8  5  6  3  5  3  8  7  6  5  4  3  2  1

PROG

(Python 2)

for n in range(1, 19):

  for k in range(1, n+1):

    c = n//k + n%k

    print '%2d' % c,

  print

(MIT/GNU Scheme)

(define (A234575bi n k) (+ (floor->exact (/ n k)) (modulo n k)))

(define (A234575 n) (A234575bi (A002024 n) (A002260 n)))

;; Antti Karttunen, Dec 29 2013

(Haskell)

a234575 n k = a234575_tabl !! (n-1) !! (k-1)

a234575_row n = a234575_tabl !! (n-1)

a234575_tabl = zipWith (zipWith (+)) a048158_tabl a010766_tabl

-- Reinhard Zumkeller, Apr 29 2015

CROSSREFS

Cf. A048158, A010766.

Sequence in context: A082404 A334725 A120885 * A294733 A275724 A193278

Adjacent sequences:  A234572 A234573 A234574 * A234576 A234577 A234578

KEYWORD

nonn,easy,tabl

AUTHOR

Alex Ratushnyak, Dec 28 2013

STATUS

approved

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Last modified May 17 14:19 EDT 2022. Contains 353746 sequences. (Running on oeis4.)