A163283 - OEIS

A163283

Triangle read by rows in which row n lists n+1 terms, starting with n^3 and ending with n^4, such that the difference between successive terms is equal to n^3 - n^2.

0, 1, 1, 8, 12, 16, 27, 45, 63, 81, 64, 112, 160, 208, 256, 125, 225, 325, 425, 525, 625, 216, 396, 576, 756, 936, 1116, 1296, 343, 637, 931, 1225, 1519, 1813, 2107, 2401, 512, 960, 1408, 1856, 2304, 2752, 3200, 3648, 4096, 729, 1377, 2025, 2673, 3321, 3969

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,4

COMMENTS

The first term of row n is A000578(n) and the last term of row n is A000583(n).

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows

FORMULA

T(n, k) = n^3 + k*(n^3 - n^2), for 0 <= k <= n, n >= 0. - G. C. Greubel, Dec 13 2016

EXAMPLE

Triangle begins:

1, 1;

8, 12, 16;

27, 45, 63, 81;

64, 112, 160, 208, 256;

125, 225, 325, 425, 525, 625;

216, 396, 576, 756, 936, 1116, 1296;

343, 637, 931, 1225, 1519, 1813, 2107, 2401;

512, 960, 1408, 1856, 2304, 2752, 3200, 3648, 4096;

729, 1377, 2025, 2673, 3321, 3969, 4617, 5265, 5913, 6561;

1000, 1900, 2800, 3700, 4600, 5500, 6400, 7300, 8200, 9100, 10000;

...

MATHEMATICA

Table[n^3 + k*(n^3 - n^2), {n, 0, 5}, {k, 0, n}]//Flatten (* G. C. Greubel, Dec 13 2016 *)

PROG

(PARI) A163283(n, k)=n^3 +k*(n^3 -n^2) \\ G. C. Greubel, Dec 13 2016

CROSSREFS

Row sums: A099903.

Cf. A000578, A000583, A045991, A159797, A162611, A162614, A163282, A163284, A163285.

Sequence in context: A298703 A273800 A273798 * A036705 A129150 A361160

Adjacent sequences: A163280 A163281 A163282 * A163284 A163285 A163286

KEYWORD

easy,nonn,tabl

AUTHOR

Omar E. Pol, Jul 24 2009

EXTENSIONS

Edited by Omar E. Pol, Jul 25 2009

STATUS

approved