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A215630 Triangle read by rows: T(n,k) = n^2 - n*k + k^2, 1 <= k <= n. 8
1, 3, 4, 7, 7, 9, 13, 12, 13, 16, 21, 19, 19, 21, 25, 31, 28, 27, 28, 31, 36, 43, 39, 37, 37, 39, 43, 49, 57, 52, 49, 48, 49, 52, 57, 64, 73, 67, 63, 61, 61, 63, 67, 73, 81, 91, 84, 79, 76, 75, 76, 79, 84, 91, 100, 111, 103, 97, 93, 91, 91, 93, 97, 103, 111 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

T(n,k) = A093995(n,k) - A075362(n,k) + A133819(n,k) = 2*A070216(n,k) - A215631(n,k), 1 <= k <= n.

LINKS

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

EXAMPLE

The triangle begins:

.  1:     1

.  2:     3    4

.  3:     7    7    9

.  4:    13   12   13   16

.  5:    21   19   19   21   25

.  6:    31   28   27   28   31   36

.  7:    43   39   37   37   39   43   49

.  8:    57   52   49   48   49   52   57   64

.  9:    73   67   63   61   61   63   67   73   81

. 10:    91   84   79   76   75   76   79   84   91  100

. 11:   111  103   97   93   91   91   93   97  103  111  121

. 12:   133  124  117  112  109  108  109  112  117  124  133  144 .

PROG

(Haskell)

a215630 n k = a215630_tabl !! (n-1) !! (k-1)

a215630_row n = a215630_tabl !! (n-1)

a215630_tabl = zipWith3 (zipWith3 (\u v w -> u - v + w))

                        a093995_tabl a075362_tabl a133819_tabl

CROSSREFS

Cf. A004068 (row sums), A002061 (left edge), A000290 (right edge).

Cf. A003215 (central terms).

Sequence in context: A180020 A162431 A024605 * A168563 A261368 A257007

Adjacent sequences:  A215627 A215628 A215629 * A215631 A215632 A215633

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Nov 11 2012

STATUS

approved

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Last modified September 20 16:14 EDT 2017. Contains 292276 sequences.