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A209297 Triangle read by rows: T(n,k) = k*n + k - n, 1 <= k <= n. 8
1, 1, 4, 1, 5, 9, 1, 6, 11, 16, 1, 7, 13, 19, 25, 1, 8, 15, 22, 29, 36, 1, 9, 17, 25, 33, 41, 49, 1, 10, 19, 28, 37, 46, 55, 64, 1, 11, 21, 31, 41, 51, 61, 71, 81, 1, 12, 23, 34, 45, 56, 67, 78, 89, 100, 1, 13, 25, 37, 49, 61, 73, 85, 97, 109, 121, 1, 14, 27 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Reinhard Zumkeller, Rows n = 1..120 of triangle, flattened

FORMULA

T(n,k) = (k-1)*(n+1)+1.

EXAMPLE

From Muniru A Asiru, Oct 31 2017: (Start)

Triangle begins:

  1;

  1,  4;

  1,  5,  9;

  1,  6, 11, 16;

  1,  7, 13, 19, 25;

  1,  8, 15, 22, 29, 36;

  1,  9, 17, 25, 33, 41, 49;

  1, 10, 19, 28, 37, 46, 55, 64;

  1, 11, 21, 31, 41, 51, 61, 71, 81;

  1, 12, 23, 34, 45, 56, 67, 78, 89, 100;

  ... (End)

PROG

(Haskell)

a209297 n k = k * n + k - n

a209297_row n = map (a209297 n) [1..n]

a209297_tabl = map a209297_row [1..]

(GAP) Flat(List([1..10^3], n -> List([1..n], k -> k * n + k - n))); # Muniru A Asiru, Oct 31 2017

CROSSREFS

Cf. A162610; A000012 (left edge), A000290 (right edge), A006003 (row sums), A001844 (central terms), A026741 (number of odd terms per row), A142150 (number of even terms per row), A221490 (number of primes per row).

Sequence in context: A011443 A016687 A139356 * A243525 A155060 A153426

Adjacent sequences:  A209294 A209295 A209296 * A209298 A209299 A209300

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Jan 19 2013

STATUS

approved

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Last modified January 19 22:02 EST 2018. Contains 297938 sequences.