A069474 First differences of A069473.

540, 2100, 5460, 11340, 20460, 33540, 51300, 74460, 103740, 139860, 183540, 235500, 296460, 367140, 448260, 540540, 644700, 761460, 891540, 1035660, 1194540, 1368900, 1559460, 1766940, 1992060, 2235540, 2498100, 2780460, 3083340

Offset

0,1

Links

Table of n, a(n) for n=0..28.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(n) = 120*n^3 + 540*n^2 + 900*n + 540.

G.f.: 60*(9 - x + 5*x^2 - x^3)/(1 - x)^4. [Bruno Berselli, Feb 25 2015]

Mathematica

Differences[Table[(n + 1)^6 - n^6, {n, 0, 30}], 2] (* Harvey P. Dale, Dec 27 2011 *)

Crossrefs

Cf. A001014, A022522, A069473, A069475, A069476.

Equals 60 * A005898(n+1).

Sequence in context: A255105 A298685 A185463 * A253824 A218414 A328133

Adjacent sequences: A069471 A069472 A069473 * A069475 A069476 A069477

Keyword

nonn,easy

Author

Eli McGowan (ejmcgowa(AT)mail.lakeheadu.ca), Mar 26 2002

Extensions

Offset changed from 1 to 0 and added a(0)=540 by Bruno Berselli, Feb 25 2015

Status

approved