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A177060 (7*n+2)*(7*n+5)=49*n^2+49*n+10 1
10, 108, 304, 598, 990, 1480, 2068, 2754, 3538, 4420, 5400, 6478, 7654, 8928, 10300, 11770, 13338, 15004, 16768, 18630, 20590, 22648, 24804, 27058, 29410, 31860, 34408, 37054, 39798, 42640, 45580, 48618, 51754, 54988, 58320, 61750, 65278 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Cf. comment of Reinhard Zumkeller in A177059: in general, (h*n+h-k)*(h*n+k)=h^2*A002061(n+1)+(h-k)*k-h^2; therefore a(n)=49*A002061(n+1)-39. - Bruno Berselli, Aug 24 2010

LINKS

Table of n, a(n) for n=0..36.

Index entries for linear recurrences with constant coefficients, signature (3,-3,1).

FORMULA

a(n)=98*n+a(n-1) with a(0)=10

EXAMPLE

For n=1, a(1)=98+10=108; n=2, a(2)=98*2+108=304; n=3, a(3)=98*3+304=598

PROG

(PARI) a(n)=49*n*(n+1)+10 \\ Charles R Greathouse IV, Jun 17 2017

CROSSREFS

Sequence in context: A015589 A163192 A140647 * A218061 A157084 A059524

Adjacent sequences:  A177057 A177058 A177059 * A177061 A177062 A177063

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, May 31 2010

STATUS

approved

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Last modified February 24 03:21 EST 2018. Contains 299595 sequences. (Running on oeis4.)