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A008851 Congruent to 0 or 1 mod 5. 28
0, 1, 5, 6, 10, 11, 15, 16, 20, 21, 25, 26, 30, 31, 35, 36, 40, 41, 45, 46, 50, 51, 55, 56, 60, 61, 65, 66, 70, 71, 75, 76, 80, 81, 85, 86, 90, 91, 95, 96, 100, 101, 105, 106, 110, 111, 115, 116, 120, 121, 125, 126, 130, 131, 135, 136, 140, 141, 145, 146, 150, 151 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

n^2 and n have same last digit.

REFERENCES

Dickson, History of Theory of Numbers, I, p. 459.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Index to sequences with linear recurrences with constant coefficients, signature (1,1,-1).

FORMULA

a(n)=5*n-a(n-1)-4 (with a(0)=0) [From Vincenzo Librandi, Nov 18 2010]

G.f. x^2*(1+4*x) / ( (1+x)*(x-1)^2 ). - R. J. Mathar, Oct 07 2011

a(n+1)=Sum_k>=0 {A030308(n,k)*A146523(k)}. - From DELEHAM Philippe, Oct 17 2011.

MAPLE

a[0]:=0:a[1]:=1:for n from 2 to 100 do a[n]:=a[n-2]+5 od: seq(a[n], n=0..61); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 16 2008

PROG

(Haskell)

a008851 n = a008851_list !! (n-1)

a008851_list = [10*n + m | n <- [0..], m <- [0, 1, 5, 6]]

-- Reinhard Zumkeller, Jul 27 2011

CROSSREFS

Cf. A003226, A045953, A046831, A046851, A086457.

Sequence in context: A074627 A067612 A064957 * A079259 A029772 A046827

Adjacent sequences:  A008848 A008849 A008850 * A008852 A008853 A008854

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Offset corrected by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 27 2011

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Last modified February 14 16:22 EST 2012. Contains 205635 sequences.