A027179 - OEIS

A027179

a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A027170.

1, 3, 15, 26, 81, 130, 350, 558, 1417, 2282, 5632, 9190, 22296, 36834, 88280, 147422, 349929, 589786, 1388672, 2359254, 5516356, 9437138, 21931190, 37748686, 87250096, 150994890, 347306730, 603979718, 1383135310, 2415919042

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..29.

FORMULA

Conjecture: D-finite with recurrence -(n+2)*(3*n-20)*a(n) -(n+1)*(3*n-11)*a(n-1) +(33*n^2-180*n-100)*a(n-2) +(15*n^2-56*n+1)*a(n-3) +2*(-51*n^2+313*n-208)*a(n-4) -12*(n-1)*(n-4)*a(n-5) +8*(9*n-11)*(n-5)*a(n-6) +4*(-24*n^2+196*n-365)=0. - R. J. Mathar, May 06 2026

For odd n, a(n) = A027178(n)/2. For even n, a(n) = (A027178(n)+A027177(n))/2. - R. J. Mathar, May 06 2026

MAPLE

A027179 := proc(n)

add(A027170(n, k), k=0..floor(n/2)) ;

end proc:

seq(A027179(n), n=0..50) ; # R. J. Mathar, May 06 2026

CROSSREFS

Cf. A027170, A027177, A027178.

Sequence in context: A160991 A328387 A006872 * A110703 A121250 A105549

Adjacent sequences: A027176 A027177 A027178 * A027180 A027181 A027182

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved