A069476 -id:A069476 - cp's OEIS frontend

A069473 First differences of (n+1)^6-n^6 (A022522).

62, 602, 2702, 8162, 19502, 39962, 73502, 124802, 199262, 303002, 442862, 626402, 861902, 1158362, 1525502, 1973762, 2514302, 3159002, 3920462, 4812002, 5847662, 7042202, 8411102, 9970562, 11737502, 13729562, 15965102, 18463202

Offset: 0

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

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Cf. A001014, A022522, A069474, A069475, A069476, A068236.

[30*n^4+120*n^3+210*n^2+180*n+62: n in [0..30]]; // Bruno Berselli, Feb 25 2015

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

a(n) = 30*n^4 + 120*n^3 + 210*n^2 + 180*n + 62.

G.f.: 2*(31 + 146*x + 156*x^2 + 26*x^3 + x^4)/(1 - x)^5. [Bruno Berselli, Feb 25 2015]

Offset changed from 1 to 0 and added a(0)=62 by Bruno Berselli, Feb 25 2015

A069474 First differences of A069473.

Original entry on oeis.org

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

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

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

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

Equals 60 * A005898(n+1).

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

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]

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

A069475 First differences of A069474, successive differences of (n+1)^6-n^6.

Original entry on oeis.org

1560, 3360, 5880, 9120, 13080, 17760, 23160, 29280, 36120, 43680, 51960, 60960, 70680, 81120, 92280, 104160, 116760, 130080, 144120, 158880, 174360, 190560, 207480, 225120, 243480, 262560, 282360, 302880, 324120, 346080, 368760, 392160, 416280

Offset: 0

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

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

Cf. A001014, A022522, A056107, A069473, A069474, A069476.

Table[360 n^2 + 1440 n + 1560, {n, 0, 40}] (* Bruno Berselli, Feb 25 2015 *)

a(n)=360*n^2+1440*n+1560 \\ Charles R Greathouse IV, Jun 17 2017

a(n) = 360*n^2 + 1440*n + 1560 = 120*A056107(n+2).

G.f.: 120*(13 - 11*x + 4*x^2)/(1 - x)^3. - Bruno Berselli, Feb 25 2015

Offset changed from 1 to 0 and added a(0)=1560 by Bruno Berselli, Feb 25 2015

A140801 a(0)=360, a(n)=a(n-1)+720 for n>=1.

Original entry on oeis.org

360, 1080, 1800, 2520, 3240, 3960, 4680, 5400, 6120, 6840, 7560, 8280, 9000, 9720, 10440, 11160, 11880, 12600, 13320, 14040, 14760, 15480, 16200, 16920, 17640, 18360, 19080, 19800, 20520, 21240, 21960, 22680, 23400, 24120, 24840, 25560, 26280, 27000, 27720, 28440, 29160

Offset: 0

Paul Curtz, Jul 15 2008

A069476 (same sequence, starting with 2520).

NestList[720+#&,360,40] (* or *) 720*Range[0,40]+360 (* Harvey P. Dale, Jan 24 2017 *)

a(n) = 360+720*n

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A069473 First differences of (n+1)^6-n^6 (A022522).

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A069474 First differences of A069473.

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A069475 First differences of A069474, successive differences of (n+1)^6-n^6.

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A140801 a(0)=360, a(n)=a(n-1)+720 for n>=1.

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