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A146763 Rank of terms ending in 0 in A061039. 1
0, 4, 10, 14, 20, 24, 30, 34, 40, 44, 50, 54, 60, 64, 70, 74, 80, 84, 90, 94, 100, 104, 110, 114, 120, 124, 130, 134, 140, 144, 150, 154, 160, 164, 170, 174, 180, 184, 190, 194, 200, 204, 210, 214, 220, 224, 230, 234, 240, 244, 250, 254, 260, 264, 270, 274 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

From Paschen spectrum of hydrogen.

Numbers that are congruent to 0 or 4 mod 10. - Philippe Deléham, Oct 18 2011

LINKS

Table of n, a(n) for n=0..55.

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

FORMULA

a(n) = 10*n-a(n-1)-6 (with a(0)=0). - Vincenzo Librandi, Nov 26 2010

a(n) = Sum_k>=0 {A030308(n,k)*b(k)} with b(0)=4 and b(k)=5*2^k=A020714(k) for k>0. - Philippe Deléham, Oct 18 2011

a(n) = (-1+(-1)^n+10*n)/2. a(n)=a(n-1)+a(n-2)-a(n-3). G.f.: x*(4+6*x) / ((1-x)^2*(1+x)). - Colin Barker, May 14 2012

MATHEMATICA

Select[Range[0, 100], MemberQ[{0, 4}, Mod[#, 10]] &] (* K G Teal, Dec 02 2014 *)

CROSSREFS

Sequence in context: A310411 A310412 A310413 * A310414 A190346 A001581

Adjacent sequences:  A146760 A146761 A146762 * A146764 A146765 A146766

KEYWORD

nonn,base,easy

AUTHOR

Paul Curtz, Nov 02 2008

STATUS

approved

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Last modified December 4 05:56 EST 2021. Contains 349470 sequences. (Running on oeis4.)