A049151 Recip transform of 2*(1 + x^3)-1/(1-x).

1, 1, 3, 9, 33, 127, 519, 2191, 9509, 42109, 189571, 864865, 3989877, 18580355, 87227311, 412371551, 1961485449, 9380593513, 45078031763, 217555637193, 1054048424377, 5124790576295, 24996499042775, 122278420437071

Offset

0,3

Comments

Sign diagram of generating sequence: +--+-----------...

Links

Table of n, a(n) for n=0..23.

Formula

D-finite with recurrence +43*n *(n-1) *(n-2)*(5307211695010*n +8087397530561) *(n+1)*a(n) +4*n*(n-1) *(n-2) *(500969612576475*n^2 -8318065279342961*n +18338013653749630)*a(n-1) -4*(n-1) *(n-2) *(6488460884022390*n^3 -73809744542730029*n^2 +257340541302438145*n -269280791373937752) *a(n-2) +4*(n-2) *(9846244502370420*n^4 -133765992121036340*n^3 +718862621109415290*n^2 -1721597503890605272*n +1518029237913933117) *a(n-3) +4*(18574051318071040*n^5 -325221606098140096*n^4 +2180597944239561168*n^3 -7047674106801530168*n^2 +11021508517018663148*n -6685167689303181687) *a(n-4) +4*(-35852044956631360*n^5 +705464161358090432*n^4 -5502698947195803020*n^3 +21252721236821515060*n^2 -40606225207653400515*n +30668461459305478053)*a(n-5) +240*(4*n-21) *(n-5)*(4*n-15)*(1443184123833*n -3908551467701)*(2*n-9)*a(n-6)=0. - R. J. Mathar, Jul 24 2023

Crossrefs

Sequence in context: A049185 A049162 A049176 * A254036 A151039 A151040

Adjacent sequences: A049148 A049149 A049150 * A049152 A049153 A049154

Keyword

nonn

Author

Olivier Gérard

Status

approved