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A069474 First differences of A069473. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
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
Equals 60 * A005898(n+1).
Sequence in context: A255105 A298685 A185463 * A253824 A218414 A328133
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

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Last modified April 16 19:21 EDT 2024. Contains 371754 sequences. (Running on oeis4.)