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A081109 9th binomial transform of (1,1,0,0,0,0,0,....). 4
1, 10, 99, 972, 9477, 91854, 885735, 8503056, 81310473, 774840978, 7360989291, 69735688020, 659002251789, 6213449802582, 58462914051567, 549043018919064, 5147278302366225, 48178524910147866, 450283905890997363 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Main diagonal of array defined by m(0,j)=j; m(i,0)=i and m(i,j) = m(i-1,j) +8*m(i-1,j-1) - Benoit Cloitre, Jun 13 2003

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..300

FORMULA

a(n) = 18*a(n-1)-81*a(n-2), a(0)=1, a(1)=10.

a(n) = (n+9)*9^(n-1).

G.f.: (1-8x)/(1-9x)^2.

MATHEMATICA

CoefficientList[Series[(1 - 8 x) / (1 - 9 x)^2, {x, 0, 30}], x] (* Vincenzo Librandi, Aug 06 2013 *)

PROG

(MAGMA) [(n+9)*9^(n-1): n in [0..25]]; // Vincenzo Librandi, Aug 06 2013

CROSSREFS

Cf. A081108, A081122, A006234.

Sequence in context: A224752 A224761 A171315 * A242633 A004189 A322054

Adjacent sequences:  A081106 A081107 A081108 * A081110 A081111 A081112

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Mar 07 2003

STATUS

approved

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Last modified November 27 05:55 EST 2021. Contains 349363 sequences. (Running on oeis4.)