A069474 -id:A069474 - cp's OEIS frontend

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

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

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

Original entry on oeis.org

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

A069476 First differences of A069475, successive differences of (n+1)^6-n^6.

Original entry on oeis.org

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

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 (2,-1).

Cf. A001014, A020735, A022522, A069473, A069474, A069475.

Table[720 n + 1800, {n, 0, 40}] (* Bruno Berselli, Feb 25 2015 *)

a(n) = 720*n + 1800 = 360*A020735(n+1).

G.f.: 360*(5 - 3*x)/(1 - x)^2. [Bruno Berselli, Feb 25 2015]

Offset changed from 1 to 0 and added a(0)=1800 by Bruno Berselli, Feb 25 2015

cp's OEIS Frontend

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

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

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A069476 First differences of A069475, successive differences of (n+1)^6-n^6.

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Author

Keywords

Links

Crossrefs

Programs

Mathematica

Formula

Extensions