A053743 -id:A053743 - cp's OEIS frontend

A053742 Sum of odd numbers in range 10n to 10n+9.

25, 75, 125, 175, 225, 275, 325, 375, 425, 475, 525, 575, 625, 675, 725, 775, 825, 875, 925, 975, 1025, 1075, 1125, 1175, 1225, 1275, 1325, 1375, 1425, 1475, 1525, 1575, 1625, 1675, 1725, 1775, 1825, 1875, 1925, 1975, 2025, 2075, 2125, 2175, 2225, 2275

Offset: 0

Odimar Fabeny, Feb 13 2000

Integers that are the product of two integers ending with 5. - Michel Marcus, Mar 16 2019

			25 = 1+3+5+7+9; 75 = 11+13+15+17+19; ...

Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A053741, A053743.

List([0..50], n-> 25*(2*n+1)); # G. C. Greubel, Sep 06 2019

[25+50*n: n in [0..50]]; // Vincenzo Librandi, Aug 12 2011

seq(25*(2*n+1), n=0..50); # G. C. Greubel, Sep 06 2019

Range[25,2275,50] (* or *) NestList[#+50&,25,50] (* Harvey P. Dale, Aug 11 2011 *)

a(n)=50*n+25 \\ Charles R Greathouse IV, Aug 25 2014

[25*(2*n+1) for n in (0..50)] # G. C. Greubel, Sep 06 2019

a(n) = 25 + 50*n.
a(n) = a(n-1) + 50. - Harvey P. Dale, Aug 11 2011
From Colin Barker, Jun 27 2012: (Start)
a(n) = 2*a(n-1) - a(n-2).
G.f.: 25*(1+x)/(1-x)^2. (End)
E.g.f.: 25*(1+2*x)*exp(x). - G. C. Greubel, Sep 06 2019

More terms from James Sellers, Feb 22 2000

A053741 Sum of even numbers in range 10n to 10n+9.

Original entry on oeis.org

20, 70, 120, 170, 220, 270, 320, 370, 420, 470, 520, 570, 620, 670, 720, 770, 820, 870, 920, 970, 1020, 1070, 1120, 1170, 1220, 1270, 1320, 1370, 1420, 1470, 1520, 1570, 1620, 1670, 1720, 1770, 1820, 1870, 1920, 1970, 2020, 2070, 2120, 2170, 2220, 2270

Offset: 0

Odimar Fabeny, Feb 13 2000

			20 is sum of 0, 2, 4, 6, 8;
70 is sum of 10, 12, 14, 16, 18;
120 is sum of 20, 22, 24, 26, 28; etc.

Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (2,-1).

Cf. A053742, A053743.

List([0..50], n-> 10*(2+5*n)); # G. C. Greubel, Sep 06 2019

[20+50*n: n in [0..50]]; // Vincenzo Librandi, Aug 12 2011

seq(10*(2+5*n), n=0..50); # G. C. Greubel, Sep 06 2019

50Range[50]-30  (* Harvey P. Dale, Mar 06 2011 *)

vector(50, n, 10*(5*n-3)) \\ G. C. Greubel, Sep 06 2019

[10*(2+5*n) for n in (0..50)] # G. C. Greubel, Sep 06 2019

a(n) = 50*n + 20.
From Colin Barker, Jun 27 2012: (Start)
a(n) = 2*a(n-1) - a(n-2).
G.f.: 10*(2+3*x)/(1-x)^2. (End)
E.g.f.: 10*(2+5*x)*exp(x). - G. C. Greubel, Sep 06 2019

More terms from James Sellers, Feb 22 2000

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A053742 Sum of odd numbers in range 10n to 10n+9.

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A053741 Sum of even numbers in range 10n to 10n+9.

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cp's OEIS Frontend

A053742 Sum of odd numbers in range 10*n to 10*n+9.

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A053741 Sum of even numbers in range 10*n to 10*n+9.

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Magma

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A053742 Sum of odd numbers in range 10n to 10n+9.

A053741 Sum of even numbers in range 10n to 10n+9.