login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A214604 Odd numbers by transposing the right half of A176271, triangle read by rows: T(n,k) = A176271(n - 1 + k, n), 1 <= k <= n. 9
1, 5, 9, 11, 17, 25, 19, 27, 37, 49, 29, 39, 51, 65, 81, 41, 53, 67, 83, 101, 121, 55, 69, 85, 103, 123, 145, 169, 71, 87, 105, 125, 147, 171, 197, 225, 89, 107, 127, 149, 173, 199, 227, 257, 289, 109, 129, 151, 175, 201, 229, 259, 291, 325, 361, 131, 153 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Sums of rows: A214659; central terms: A214660;

T(n,1) = A028387(n-1); T(n,n) = A016754(n-1);

T(n,k) = A214661(n,k) + 2*A025581(n,k) = 2*A000290(A094727(n,k)) - A214661(n,k).

LINKS

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

FORMULA

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

EXAMPLE

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

.     southwest) 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:              _   5                  5  9

. 3:            _   9  11               11 17 25

. 4:         __  __  17  19             19 27 37 49

. 5:       __  __  25  27  29           29 39 51 65 ..

. 6:     __  __  __  37  39  41         41 53 67 .. .. ..

. 7:   __  __  __  49  51  53  55       55 69 .. .. .. .. ..

. 8: __  __  __  __  65  67  69  71     71 .. .. .. .. .. .. .. .

PROG

(Haskell)

import Data.List (transpose)

a214604 n k = a214604_tabl !! (n-1) !! (k-1)

a214604_row n = a214604_tabl !! (n-1)

a214604_tabl = zipWith take [1..] $ transpose a176271_tabl

CROSSREFS

Cf. A214661.

Sequence in context: A314601 A314602 A314603 * A101284 A102182 A314604

Adjacent sequences:  A214601 A214602 A214603 * A214605 A214606 A214607

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Jul 25 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 11 07:29 EST 2019. Contains 329914 sequences. (Running on oeis4.)