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A214661 Odd numbers by transposing the left half of A176271, triangle read by rows: T(n,k) = A176271(n - 1 + k, k), 1 <= k <= n. 9
1, 3, 9, 7, 15, 25, 13, 23, 35, 49, 21, 33, 47, 63, 81, 31, 45, 61, 79, 99, 121, 43, 59, 77, 97, 119, 143, 169, 57, 75, 95, 117, 141, 167, 195, 225, 73, 93, 115, 139, 165, 193, 223, 255, 289, 91, 113, 137, 163, 191, 221, 253, 287, 323, 361, 111, 135, 161 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Sums of rows: A051673; central terms: A214675;

T(n,1) = A002061(n); T(n,n) = A016754(n-1);

T(n,k) = A214604(n,k) - 2*A025581(n,k) = 2*A000290(A094727(n,k)) - A214604(n,k).

LINKS

Reinhard Zumkeller, Rows n = 1..150 of triangle, flattened

FORMULA

T(n,k) = (n+k)^2 - 3*n - k + 1.

EXAMPLE

.     Take the first n elements of the n-th diagonal (northwest to

.     southeast) of the triangle on the left side

.     and write this as n-th row on the triangle of the right side.

. 1:                1                    1

. 2:              3   _                  3  9

. 3:            7   9  __                7 15 25

. 4:         13  15  __  __             13 23 35 49

. 5:       21  23  25  __  __           21 33 47 63 ..

. 6:     31  33  35  __  __  __         31 45 61 .. .. ..

. 7:   43  45  47  49  __  __  __       43 59 .. .. .. .. ..

. 8: 57  59  61  63  __  __  __  __     57 .. .. .. .. .. .. .. .

PROG

(Haskell)

import Data.List (transpose)

a214661 n k = a214661_tabl !! (n-1) !! (k-1)

a214661_row n = a214661_tabl !! (n-1)

a214661_tabl = zipWith take [1..] $ transpose $ map reverse a176271_tabl

CROSSREFS

Cf. A214604.

Sequence in context: A267363 A146179 A294734 * A178414 A220654 A302158

Adjacent sequences:  A214658 A214659 A214660 * A214662 A214663 A214664

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Jul 25 2012

STATUS

approved

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Last modified December 15 00:30 EST 2019. Contains 329988 sequences. (Running on oeis4.)