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A011769 a_0 = 1, a_{n+2} = 3 * a_{n+1} - F_n*(F_n + 1), where F_n is n-th Fibonacci number. +0
1
1, 3, 7, 19, 51, 141, 393, 1107, 3139, 8955, 25675, 73945, 213825, 620595, 1807263, 5279283, 15465139, 45420261, 133724757, 394494631, 1165998951, 3452224863, 10236848727, 30396848949, 90369294541, 268957845831, 801244711843 (list; graph; listen)
OFFSET

0,2

REFERENCES

L. Euler, (E326) Observationes analyticae, reprinted in: Opera Omnia. Teubner, Leipzig, 1911, Series (1), Vol. 15, p. 59.

R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 575.

R. K. Guy, The Second Strong Law of Small Numbers [ Math. Mag, 63(1990) 3-20, esp. 18-19 ]

P. Henrici, Applied and Computational Complex Analysis. Wiley, NY, 3 vols., 1974-1986. (Vol. 1, p. 42.)

V. E. Hoggatt, Jr. and M. Bicknell, Diagonal sums of generalized Pascal triangles, Fib. Quart., 7 (1969), 341-358, 393.

J. Riordan, Combinatorial Identities, Wiley, 1968, p. 74.

L. W. Shapiro et al., The Riordan group, Discrete Applied Math., 34 (1991), 229-239.

See also the references mentioned under A002426.

CROSSREFS

Cf. A002426.

Sequence in context: A052948 A026325 A002426 this_sequence A087432 A135052 A146597

Adjacent sequences: A011766 A011767 A011768 this_sequence A011770 A011771 A011772

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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